{
 "metadata": {
  "kernelspec": {
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   "language": "python",
   "name": "python2"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.9"
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  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# vim: set filetype=python:"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Bayesian Logistic Regression [Still working on this tutorial]"
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Both versions of Bayesian Logistic Regression pass scikit-learn tests for Linear Classifier"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# test using scikit-learn unit tests for linear classifier\n",
      "from skbayes.linear_models import EBLogisticRegression,VBLogisticRegression\n",
      "from sklearn.utils.estimator_checks import check_estimator\n",
      "check_estimator(EBLogisticRegression)\n",
      "check_estimator(VBLogisticRegression)\n",
      "print 'Passed all tests'"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Passed all tests\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 1: Binary Classification"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import matplotlib.pyplot as plt\n",
      "import numpy as np\n",
      "from scipy import stats\n",
      "import matplotlib.pyplot as plt\n",
      "from matplotlib import cm\n",
      "%matplotlib inline\n",
      "\n",
      "# create data set \n",
      "np.random.seed(0)\n",
      "n_samples  = 500\n",
      "x          = np.random.randn(n_samples,2)\n",
      "x[0:250,0] = x[0:250,0] + 3\n",
      "x[0:250,1] = x[0:250,1] - 3\n",
      "y          = -1*np.ones(500)\n",
      "y[0:250]   = 1\n",
      "eblr = EBLogisticRegression(tol_solver = 1e-3)\n",
      "vblr = VBLogisticRegression()   \n",
      "eblr.fit(x,y)\n",
      "vblr.fit(x,y)\n",
      "\n",
      "# create grid for heatmap\n",
      "n_grid = 500\n",
      "max_x      = np.max(x,axis = 0)\n",
      "min_x      = np.min(x,axis = 0)\n",
      "X1         = np.linspace(min_x[0],max_x[0],n_grid)\n",
      "X2         = np.linspace(min_x[1],max_x[1],n_grid)\n",
      "x1,x2      = np.meshgrid(X1,X2)\n",
      "Xgrid      = np.zeros([n_grid**2,2])\n",
      "Xgrid[:,0] = np.reshape(x1,(n_grid**2,))\n",
      "Xgrid[:,1] = np.reshape(x2,(n_grid**2,))\n",
      "\n",
      "eblr_grid = eblr.predict_proba(Xgrid)[:,1]\n",
      "vblr_grid = vblr.predict_proba(Xgrid)[:,1]\n",
      "grids = [eblr_grid, vblr_grid]\n",
      "lev   = np.linspace(0,1,11)  \n",
      "titles = ['Type II Bayesian Logistic Regression', 'Variational Logistic Regression']\n",
      "for title, grid in zip(titles, grids):\n",
      "    plt.figure(figsize=(8,6))\n",
      "    plt.contourf(X1,X2,np.reshape(grid,(n_grid,n_grid)),\n",
      "                 levels = lev,cmap=cm.coolwarm)\n",
      "    plt.plot(x[y==-1,0],x[y==-1,1],\"bo\", markersize = 3)\n",
      "    plt.plot(x[y==1,0],x[y==1,1],\"ro\", markersize = 3)\n",
      "    plt.colorbar()\n",
      "    plt.title(title)\n",
      "    plt.xlabel(\"x\")\n",
      "    plt.ylabel(\"y\")\n",
      "    plt.show()\n",
      "    \n",
      "    "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "/Users/amazaspshaumyan/Library/Enthought/Canopy_64bit/User/lib/python2.7/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
        "  if self._edgecolors == str('face'):\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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DMOpjwtyOCbN9yTrSNAzDMGFW0K7CnPAP+zX/4QWPxdeROpg0c45NazHSIG9zMk2YzWHR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\nRK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10eb92f50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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yddMadu+6ja514/fbn39Wbf5xmsZ/80TRIL5YxJUyzErLSvKlW4C7F8zjQ7Nv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\n26VdmLWQtCzzmACMtGO3BjM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DA+3HMMoRmTRFZCnQXuKl61X1flW9AbhBRD4J3ApcGlUs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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11412dcd0>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 2: Multiclass Classification problem (OVR)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.datasets import make_blobs\n",
      "from sklearn.metrics import classification_report\n",
      "from matplotlib import cm\n",
      "from sklearn.cross_validation import train_test_split\n",
      "centers = [(-3, -3), (-3, 3), (3, 3)]\n",
      "n_samples = 600\n",
      "\n",
      "# create training & test set\n",
      "X, y = make_blobs(n_samples=n_samples, n_features=2, cluster_std=1.0,\n",
      "                  centers=centers, shuffle=False, random_state=42)\n",
      "X, x, Y, y = train_test_split(X, y, test_size=0.5, random_state=42)\n",
      "\n",
      "# fit rvc & svc\n",
      "vblr = VBLogisticRegression()\n",
      "eblr = EBLogisticRegression()\n",
      "vblr.fit(X,Y)\n",
      "eblr.fit(X,Y)\n",
      "\n",
      "# create grid\n",
      "n_grid = 100\n",
      "max_x      = np.max(x,axis = 0)\n",
      "min_x      = np.min(x,axis = 0)\n",
      "X1         = np.linspace(min_x[0],max_x[0],n_grid)\n",
      "X2         = np.linspace(min_x[1],max_x[1],n_grid)\n",
      "x1,x2      = np.meshgrid(X1,X2)\n",
      "Xgrid      = np.zeros([n_grid**2,2])\n",
      "Xgrid[:,0] = np.reshape(x1,(n_grid**2,))\n",
      "Xgrid[:,1] = np.reshape(x2,(n_grid**2,))\n",
      "\n",
      "\n",
      "eb_grid = eblr.predict_proba(Xgrid)\n",
      "vb_grid = vblr.predict_proba(Xgrid)\n",
      "grids   = [eb_grid, vb_grid]\n",
      "names   = ['EBLogisticRegression','VBLogisticRegression']\n",
      "classes = np.unique(y)\n",
      "\n",
      "# plot heatmaps\n",
      "for grid,name in zip(grids,names):\n",
      "    fig, axarr = plt.subplots(nrows=1, ncols=3, figsize = (20,8))\n",
      "    for ax,cl,model in zip(axarr,classes,grid.T):\n",
      "        ax.contourf(x1,x2,np.reshape(model,(n_grid,n_grid)),cmap=cm.coolwarm)\n",
      "        ax.plot(x[y==cl,0],x[y==cl,1],\"ro\", markersize = 5)\n",
      "        ax.plot(x[y!=cl,0],x[y!=cl,1],\"bo\", markersize = 5)\n",
      "    plt.suptitle(' '.join(['Decision boundary for',name,'OVR multiclass classification']))\n",
      "    plt.show()\n",
      "    \n",
      "print \"\\n === EBLogisticRegression ===\"\n",
      "print classification_report(y,eblr.predict(x))\n",
      "print \"\\n === VBLogisticRegression ===\"\n",
      "print classification_report(y,vblr.predict(x))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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6toIeCbW69W8wo+l4257wpuO89tq2DrfVrd+a8XOkWpVSKA2XC+V1hsHnriuh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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10c3a32d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Bew634+zAIMorJ+KWqA8qBbj1eowZDcwaGA2MMBuYZseP72jbhd3bN2P39s3o\naNsV2HFS/M1ZsBy1S+rRd/YmnOn6NjrbN6J55zDPGyLNtRzPYK0ZsBIwAla5LB8nmjKdaGxuQWNz\nC5oynYEdJ43lZQmXDsu3+s7ehMGB7+JM17fZRhDFBMcTo+K6nFX3rB6rmwfO48lsFt/pPYeKfQfZ\ntwhYaoM9tUvqUVHZCEACkKlLOc5F8TvbN3LgTo747QwQxU3d7BpsLZ9gthLpSzkeyQrq6samrm52\nyqgothGURhxPcDwRR1EFevxOQJF7qQ32zFmwHPUrylA9dwOq525A/Yqy2KUr+mlg2CkjIipuaU01\nBhfPx/qZ07F+5nQMLp4fu+VPfgJW7JRFI65ZPURpxPEExxNR85LVQ+mR2po9QPy3IrTWUgH8F1Qb\nONeN3ds3j3suFm0jwL4A57QZVbbnTCk8pygu4r61eW6N/HpFBZo7es6isbll3POwCHT8qA70FCrS\n7PX7nu0ExQXHE2N1Z9qxe/vmcc/Da7o4P8WZ3YgqqwewL9I8cfIkNDa3jPzeTf+BfY/SUh3sSQKv\nDUx+p2xCeQPOnq5Bz5sPAxgtzgYg9KJtbAz0lN8ZmDajCkf3Lxw5h5yeGywESBQurwGr/E5ZA4B1\n2Sxu7+oeU+g5iiLQ7OCN8prVo5rdgBHw1odgO0EULlXjCaABgwMfR2f77WOu2yiu6TSMJ8LO6vET\n6AHGT0BNnDwJS05mRoM/LvoP3IDCmdQu40q7/LTTydOew3D2YeSnYYadnsm1v3qbs2A5lt1xP5bd\ncT96TvV7Oje8nFNJKv5HFBfWZWx3lpejFsb+SvlLusJe7hWHWkIn5l7n6XFelnB5EdTyLWsbMWfB\ncs99CLYTRPFgHU9UVN4FWFoK63XL8YQe/Gb1qLC0phpr6uuwpr4O58/1ee4/eOl7pHHTCQZ7Usza\nKauaMivqwwHAtb80HhtsoujkOmVzpl2A26M+GFOpDp7fmcc40SWrJ2psJ4iikxtPTK+ZC2jSUnA8\noV7c29Y4TBQFgcEeAlC4OFvadxmgwpyeG/mzrW7PKTbYRNErVug57buWqRL3rB47bCeI0qPYdcvx\nRHFe6vW4XcKlQ1ZPPjf9h/ysHLd9j7RuOsGaPQSgVHE2dUXbSilU4JH046Sgn90a7foVZahfURba\nOUVE/hUr9Ky6CHQpdgUe0xhc8pLVE/buW2wniNKj2PWuugh0KRxPqBVUVo/T/oNdfZ7BxfONpeas\n31eUkDJtge5HAAAgAElEQVTYFGAhhHzffQcCfQ1KljQUVEuL3ds3o7N9I4wYOgBIVM/dgGV33O/4\nOUYHAqMNdhy3NrXzvS0LIaUUpe+ZbEII+fIty6I+DIqRUgWa56+8SsnrTLz2Bk+P81Kzx21mTxyC\nPU6wnSiO7YSB4wlyy+t4ov76Wl+ve/UV7i9Xt5k9YWb16LB8q7G5BZu6ui2tBLB+5nSsqa9z/By5\ngJF1omhw8fxEBIiueXZ3wXaCmT2knbhvYUlqhT0bRET687rDmK7SGuhRhe0EEeXjeMKg4/KtKISd\nhawLBnuIaBwV2VV7X9iKN0+0ANgMwJih9ZpG67bBZnYYESWVLkWZ2U4QEfkXdFaPH36zekpl4Trx\nxIFD2NfdY2klvC/fdjNRpOLYdcBgTxHsCFAa2dVPAHa5Ov/3vrAVB1+rBfAQgKcB3INJF/Tht5e9\nJ/DrSMXxEzmVlM4AqeN12/Ugqc7qYTtB5BzHExSVKLN67OrsNAGu+klPHDiEhcdO4B+QayWAc5UT\n8buX1wba31Jx7LrgblwFcBtPSisVu5oc3X8AwDrzOVYC+Aayg8OhdHC4KwuFJa3beJJabpZw6bJ8\ni+0EkTMcT6SLl3o9uvKb1aNi96vDJzvzWglgeGg48KBLknbuYmZPAUZHYLRgoNER2KBdNJ6zBURE\n0Wg5nsEmszMAGJ2B9cczWs38MPOIiCg6cRhPcCwRH26WcMW9KDOpwcyeGONsAQWhdkk9KiobYdS6\nl57qJ8xbtBBAw8hzAA2Yt+hy5cdqR8XxEyUBM4/0F8esHoDtBFFScCxBQambXYOt5RNGvuG91Nm5\ndFZ1Xith3BY0FceuC2b2FFC7pB7dmcYx23jq1hGIw2wBxY+KXU2uvHEtgEdxdP9dAIB5iy7HlTd+\nbOT3Qc4icVcWCkvd7Bps7TkzZhtPnToDccg8ongKup0IOtOA7QSFRffxBMcS0XJTnDluWT0qdr+6\ne+FleALAnSeNiapLZ1Xj7oWXAQg2czlJO3cpCfYIISYAeAnAMSnl76t4zqiF3RFgCiXpJH9XEy/n\n55U3fgxX3jj+9o62XXh5x+sYzk4GALx54vWR11SF223qJ4ntRNidAS7JSi+dsnpygmonRosnvxvA\n8+g89hy6Tuw3g0PqsJ3QTxLbCY4nKM3yd7/y0o+5e+FlgBngsT5Pxb6DeG92CM8D+FlXN9645MxI\nICiIY48rVZk9nwTQCmCqoufTQlgdAa+7Qug+W1AKG6R4UL1ryb49T2E4uxLAagDAcHYb9u15in//\n5EtkOxFWZ8DLzhC6Zx45EbcAl5uduNws4dKdynbCyDR4N4CTAB4EJHBo7yOYeTF3y0qBRLYTOo8n\n4j6WANIxnohbVo8dlTtctRzP4L3ZoVwrAQDY0nECTdOnat9PCJvvmj1CiEsA/B6ARwEkpwR5iLzu\nCjFnwXLUryhD9dwNqJ67AfUrysZ9wXW07cLu7Zuxe/tmrdbgco1wfKjetaS/dxBGoCdX4361eRsl\nFdsJ/7zsDLG0phqDi+dj/czpWD9zOgYXz7ftBDVlOtHY3ILG5hatavqw5pBBx6yefOp3t3oewKqR\n55PyXu6WlXBsJ/zzch06GUsAHE+kQdBFmVXvcDW2lQDuk4jtjllBUpHZ848A/grANAXPRQUUiloX\nmy1QnZGhEtcIp9ekC6ZicGD8bZRobCdCYJcFUyrzSOVMm2qsOeRN2IEe1WqX1KPz2HNGVUxKE7YT\nAfMylsg9juMJ9dzU63HKT1ZPnNTNrsHPurqjPoxY8BXsEUK8F0BGSvkLIcQKNYeUPqVSKAt9yQIo\nmrYY5y9ACoaXVFfVKb6L3r4Cr+xowFB2HQBgQnkDFr19hefnI72xnVCj1JKsQkEbAEWXQTGgEg2n\nS7i8ZPX4FXU7MWfBcnSd2I9Dex+BlPf6fj7SH9sJNYpdh8UCNqWueY4nouVmCZdXbrN6vCyxVrm0\nfGlNNd645Ay2dJzAfWYzGcel6mHwm9lzA4A7hBC/B6AKwDQhxDeklPdY7/T6i18d+fm35ixF9Zyl\nPl82WUoVb7P7kt2350Po771Nyyi7E0lYIxw3XmdmVBcXTPMuKJ0dTfhNR1PpOyaLo3ai4dDRkZ+v\nmXEh3j7jwnCPUnOlikHbBW0+ePgYbhsY0DJrx4kk1BwKm9+sHl3aiStvXIuZF7OdSBGOJxQodh0W\nCtgA0DZrxwmOJ0aFldXjNSNY9aYWdy+8DE3TpyZixyy3Xjp1Gi+fOu3ovkJKNbNGQoibAfxlfvV8\nIYR8330HlLxGWu3evhmd7aNf0IBEReVdGBz47pjbquduwLI77h953GinbfQLsNBa3CikoaCaTuzO\no/xzJkz8+wPf27IQUsrU1CYo1k68fMuyiI4qGRqbW7Cpq9tydQN3lpfjyWx2zG3rZ07Hmvq6kcfl\nOm3WgEqh2j5R8Fqgef7Kq5S8/sRrb3B8X9XFmaOo1cN2Qj9sJ0Zu53jCh0LXNoCS13zaxhP119d6\nfuzVVzi/VJ0s4wqjMLPbrB67/kZ+3yJMcdvIIQjXPLu7YDuhajeuHK6wDoBd1Nqu7kk+3TMorLMN\nuS9pnY6PgqPb+m8OKELFdiIAdlkwF1RWANls0ceFvX28W7ljaTmeGenM6XR8XgS1C1fca/XkYzuR\namwnFCuUAeN0QxidxxNxpLpeT1pq9eTTre6gjoEnZcEeKeXzMApjk2J2X7LACjTvLJ22GNZ2j17o\n1pFLOp1SXd2s/w66g93Rtguv7BjAUNY4D7tONIDnYTDYTgTHLmhzA4CteVk7dsugwto+3gvdOnJJ\nF8d2IowgDNuJ8LCdCEaxgI2Ta17X8YROYwk3WT268LIDl05LrJ3WHQwjCNOU6YR4vQ2bhoYBAA2n\ne7Tor6jO7KGA2H/JxjvKzoJv4YrjzEwYjfj+l3ZiKLsNufNwKLsO+19arf1nQ5TPLmijc9aOE1EW\nkHazhMupoAozq8rqiVs7EdZAj+0EJYHdWCJu13y+JI8lnC7hCmv5Vo7uGcH5wpo0+unhdnxjaHik\nv7JuaBj3HG6P/LNhsCfGdI2yk750OWeczh6H0Yj3nT3j6DaiONI5a4fUUL18K07tRFgDPbYTlGS6\nXPMUH7r0LZxkGYU1aXR2YNDRbWEri/oAKL1ql9SjorIRxtJsmeoK+mkzZ8Fy1K8oQ/XcDaieuyHS\nQn9VUyoAbEPuPAS2mbcRUdTqZtdga/mEkavTabq41xlLr9wUZy4liu3WdcR2gohKieNYQmVh5rCz\nenSztKYag4vnY/3M6Vg/c3qkG0xUVE7MayWA8sqJkRyLFTN7NKBqvXncigfGPXVUJ3H72wPOZpLC\nqB+x+NqVeHlHK4azDwAAysqzWHztSqWvQeSHyrXmOhYPLCZu6eLFBFGY2U1WTxLbibBqDLGdIN2p\nvL7j9F3BsYRacesjAKWzjMKqMfTOSy9Ba+sbeGDYmLDJlgnccuklyl/HLQZ7XAjiy0/VenOdCpS5\nwdRR/+L6t3cijEbcuitcUK9B6aG6o6RyrXlcix3rki4ehqCyepLaToQ10GM7QSqpHk+ovL7j+F2R\n1rGE6qyeuPYRSglr0si6e2iQr+MWgz0OBfXlp2q9eZILlFFxOu1YEldp7SiQWkF0lFSuNY+y2DGp\n5yarh+2Ef2wnSIUgxhMqxwAcT0TP6RIu1XTa2SqudJycYrDHIV2//HIds+5MO4CnATCtmMaL40wN\nEN/jpnTSMZhi7ZRlBs5Hdhxp52QJV9S1euL4fRvHY6Z003E8YQ3y9veejOw40sBJvR4noqrVE8fs\nnzges0os0Oza0wAeAPCAki9EP4XFcp2czvaNGBz4LoAjAJ5y/TwUb07OIaNzsQZG50KYnYvmCI7W\nnbgeN6XbaCvhP8DitUAxYOngdHVjU1c3bunvx6fKhKfnosJUFmd2yu0OXEltJ+J4zEQGdeMJVWOJ\nzvaNONfzTpSVf8rTc5F/QWb1lAr0OOlvtBzPYK05qSVgTGrlJpR0FcdjVomZPQ7VLqnHmyc+jeHs\nFQC+BAA419OAjjZ/M0h+1pvnzw4A61BReRem1/yI6dcpEnTNAqb1EzlTN7sGn+o+jSXD0mwlgIb+\nfjRlOj3PIPlZa56fabRuaBj3TJmE9ZWVrp+LghV0Vk+Q7QTbCCLnghhPqBxLDGXXYdpbVqNyMgse\nu3H1FaL0nRTxmtVTSpC1bbj0KzoM9jg0Z8Fy7H9pJ3re/AqsX4gqUi9VrgOfXjMXy+64X8lzUXwE\ntWNJ1CnyYe20QqTC0ppq/PRwOx7u7RsTYPG7lEvlGvALKyuxpr5OyXORM6p34XKb1ZMTRDvBNoLI\nnaDGEyrHEpWTp3MsEQBVS7i8cLp8K4idraJeRhXWbly64jIuFyonT4/6EMbwk7ZJ6TJnwXLUryhD\n9dwNqJ67AfUryhx1CqJOkfd63ERRudDMmtGBnyVgFJ6oa/XkePm+ZRtB5J5O4wmOJfThZAlXUFk9\nTi2tqcbg4vlYP3M61s+cjsHF80sGbaJeRuXlmJOEmT0uqJxBUpH2HNaWo5QMcd1JJK7HTemkcgbJ\nb9pzWNuNplnY9Xq8ZvU4Fcfv2zgeM6WbTuMJjiWSz29R5nw67jhVShyPWRUGe1xQ9YWoMu05Tp0c\nruuPHz8dEv69KY1UBVhUpT3HrYOjy7r+idfeoOR5VC/h0o3fQSvbCUoj3cYTcRpLAOn93og6q8cr\nv5NguvQL4orBHpdUfCEGue2irl+AUa/rJ2+8dkj496Y0UxFgCXIbd107TlGv64+CmyVcQWf1eOFn\n0Mp2gtKM4wlv4vq9UapeT1C7cKnO6vHCzyRYGvsFqjHYkyA6fwEG2SBRsLx0SML4e3e07cL+l3ai\n7+wZVE2pwOJrV/J8IipB545TkAEuCo7XQSvbCSI9cTyhHy9ZPToEenK8ToKF0S9oynTip4fbcXZg\nEBWVE/HOSy9JVL+DwZ4Q5aLk/b0nMaG8AUPZdQDU7R6R1i9A8kfX2ZtiOtp24ZUdAxjKbgMADA5s\nw8s7WgEgFsdPZMeacTNx8qRAdo9gQEWdUvV6Si3hilNWD9sJIj1Yr8VpMyYFshsdxxPu+N12Pais\nnrAFkTV8emDA93MU05TphHi9Dd8YGgYAbMtm0dr6BgA9JsFUYLAnJPlR8rLyT2HaW1ajcvJ0rTpO\nQXXouD2qnoKavZk2YxI62xsArDNvacC0GVWejs/ufDzS2oyh7GhHBFiN4ewDONLarM21ROSGXcZN\n66warD/XB0C/5VZBLANL+/aohegQ6GE7QRQ9u2tx3qID6DmlX3FljifUiUNWTxBZw02ZTszq68c2\nAKvN2xomlHnqFxTqt7Qcz2DT0LCllQAeGJZoSdAkGIM9IcmPkg9nH0bl5A1Ydsf9yl5DRaHEoNI2\nWe1fT35mb4o15D2n+gDUAvicectN6Dn1uqvnKXY+DpzrdvtWibRmm3Fzrg9r6uuUvo6KQolBLQNL\n0+5humy37gTbCSI92F2LPafUjiUAjidUK1WvJwn8ZA0XDcQMSzwDo5WQANqqqvDZAs9Z6HmK9VuC\nzhzSAYM9GlAV/fb7BRh02mbcqv1TYc4a8tsBrDR/lgB+5Op5Cp2PAHD29EXAmFj/11FWnk387A6l\nl6psGr8BlaCXgcVt97BCVO3CFXVWjx9sJ4jCxfFE/ASxhEunWj2lOJlAut38JwGsr5zo+nkK9VsA\njMsc+jqAbJlIVFYxgz0hKRQlz+/EvHni09j/0k7Py7uS9AVIwfM6e1OqIXf6vF46BEdamzGc3QhY\nYv1l5Xtwza0f4blPsVUs4ya/E/Op7tP46eF2XFhZ6Snwk5SACoWD7QSRHopdMxxPJFNctlv3mjVc\nbALJzXN6mYiyyxx6sawMH1iyIFF9JAZ7QlIoSr57+2ZLJ+ZpDGevQM+bXwHeDL/6fRrXwaZdUOmw\nhZ43f9apmELnY+7x1lj/Wy5m4UCKt2IZN9ZOzNMAlgxLPNzbB/T2hb6bVhrq6ky89oaS9ylVnLkY\np0u4dMnqYTtBpIdi1+LYoCjHE2EpVZw57CVcUWX1BLEMu9hz5mc7F1Oo35J7/JjMoenTEhXoARjs\nCVXpKPnzAL6EMKrf26V6xnEdLPnndPbG7Q4Q+c9rl4o/86IuQKwC5BwAN6OismPkeYqdj2npRFC6\nOMm4GdtKBLublt3SsTTV1fFK1RIunbCdINKDs2uR44k4KLWEKy5ZPTlOs4bd7Dxq95x2S7benDYV\nqwAYrQRwzPI8xfotSZ+8AhjsidzY6Hc4BRvzO1NdJxqwb8/nUTVlFmqX1Csv9EbxlN9pP7r/cl87\nQIxPxZ+DTPv1gLwXACDEI5i36CjmLPjYyGPsOjXsRFDaWGelwirrm9+Zajjdg4cOH8NFlRNRN7tG\neeHotIhbVk8pbCeI9KDDeOI3xx7Bvj2fx+JrV3IZWAR0rdWTH9xZcjLja+fR/CVbl2SHsOxUN+4z\n/3+LAA7NqsHdluexCxqlZfKKwZ6IWTsk/b0nca6nAUNZYxvSoGai8jtTQ9l1ONP1K5zpejD0VE/S\nU34D3nlsFSAfgtodIJ6HlA+OPKeU944MCkphJ4LSxNohyQycR0N/P9YNDQMIbiYqvzO1bmgYv+o9\nhwd7z4W+dIz0xHaCSB86jCekvBdnuo6heecwOJbwJ25ZPYXkTxyt6urGWuRlJ/vcefR5AA/K0ee8\nT2IkeFRKGmoYMtijAWuHxJgli2ImSgAQgaZ6UnzkN+BG+rw/+Wu4ITrCmnwiij1rh6Qp0xnJTJQw\n/wW5dCwOitXrUbGEKy5ZPWwniPSiy3iCYwlDsXo9qnfh0jWrJ3/iyH8rMb4GT4eC50wyBns0E8ZM\n1LjOFLbBWOFIVMjNEOIRSDOV3sssUX5a/bQZs3F0P2sqELkVxkxUfmdqG9hK+OV0CVd8sZ0g0kU0\n44nHwZbCv6Rk9di5GcYyq/vM5tBLdnL+8qvfmjwJW09mEl97xysGeyJgV8wsTHMWLEfXia04uv8u\nDA9lMTQ8FRh+AoBkR4oAjG/Ay8qfRWXVIWQHd6BqSsXIemwrJ+d1fudj5sWsqUBkx644cpiW1lTj\nie4zuPNkJ7LDw5g2PAyjlWBHKkhxyeoB8tuJpwHxTVRNOYfyiT8ZqQHIdoIoOLqMJ460/gGGshLA\nMgCrYj2WqL++1vF9S+3EFRZds3qAsRNHTwP4JoDeiRPxk/Jy1Jg1AK39G6d9n/xJr6bpUxNfe8cr\nBntCZrfTRNjrWjvadplFFB8CAEwob8Dk6R8q2Dmj9Bm/9vud6Dv7FfO3jePu7/W8Zk0FovHsdpoI\nu0ZOU6YTS05m8A+5As0TyvBHVVUjBZp170jNX3mVp8c52Xa9kGJLuJKY1ZNrJ/bt+RDOnroJUj6O\nvrNG9s3ia8tsAz1sJ4jU0Gk8MZQ1xhNCPIILZnzIdkKQRqlewqWzXBbOBw8fw03nzuFxCWDgPLYO\nDWHw0kvGBXq89n3SUHvHq7KoDyBtjDXuazC2Rk5zpMcwlF2HqimzsOyO+/nlTCPmLFiOZXfcj6op\ns8wif4XPWR3Oa6KkaDlupCNba+TkZrqiOoZ1Q8O4qHIi1tTXpbpDVaxeTxrNWbAcVVNmmUu3in//\ns50gUkeH6yn/GKS8F1VTZnEsgeL1eopxu4RL56yenKU11aipnIj7JIr2a3To+yQRgz1EREREEYvT\nEi4iInIvTVk9pAcGe0JWu6QeFZWNMCofGDVyps2owu7tm7F7+2Z0tO2K5BjCWlvb0bYr1PdK/jk5\nX6I8p4iSpm52DbaWTzCvJmMJ1a8HzqOxuQVNmc5IjiHMOj1NmU40NreE+n79StsSLiun3/9sJ4jU\nyb+eJpQ3oL/3ZKj9a44n1EpiVk+Okz5FlP2OJGPNnpAZxcwexdH9dwEAZl40BUf3rxgphBvGmtv8\n3S7CqtOjw/pics/J+RLVOUWURNbiyOeHh7F4eBjf6T0H9J4LrX5P/m4XYdXp0aFeUSFBLuGKc1aP\n0+9/thNEalVNeQbAf6K8ogwD/ZfiTNe3caYrvP51mscTxYoze13ClWRO+hRR9TuSjsGekBnFzBZi\ncODLAIBft68CZG69K8w1txtC+YJ28hpOKv073Q3AWNu7EWG/V/LPyfnCIppEaliLIz8A4EHkvjWN\nNezrj2dC6QA5KXjodOcMp/drOZ7BJnPNPhDu+w1C0rN6cpx+/7OdIPJvNNjxbQDA4PlVgHwYUfSv\nnVzTTscJSR9PqFzCFaesnhwnfQoWWlaPwR6LMLYwzP+Cgpyj/DVUcRI51yG6TvHi5zqLeptRojC2\nRLcGPPTY2NWe0ywcnbN1rLzuxFVsCZcTcc7qCQrbCYqzoM/BpI0l3Nwvqdwu4SJ//bEw+nK6YLDH\nFN2XzM0ANgO4HwA8rXcNqlFxEjl3E12vXVKP7kzjyJI1rtdPDjezNl6vs7R3BCh6UQQtbgawDcBq\n8/+9rmEPomPjNAvHTbZO3ewabO05g7W5z5hr9hOD7QSlQTTnoP+xBBDMeMLpOIHjCefimNXjlJts\nYa/9sbhMQKnCAs2msLYwzC9mBpwA0AuIVZj2ltWoX1HmegareecwOts3orN9I5p3DmtbqGzOguWo\nX1GG6rkbUD13g+v3SnoaPQffjc72ydjzzHPY+8JW2/v6uc502GaU0i2sbUGtRQpvA7APwDoAqwC0\nznIfqBnp2HR1Y1NXNyr2HdS28PHSmmoMLp6P9TOnY/3M6RhcPF+LDpiXej1OlnClJauH7QSlRRjn\n4PixxBEAvQAeAMQqzFt0wHX/muMJ57zU6ym2hItZPYZcX+W9Xd2Y2tWNn/3yAJ44cMj2vn76Y2nb\n4p2ZPSHLFTNr3nkXBgcWAVgB4KOAlKic7H69qdGovBvA5wAAgwM34Ujrj5R86TmJnLuNrnO9fvKM\nnoMnATwISODQ3kcw82LOphJ5kStSeOe+Q1iczeIWALfD6NKvP9fn+vlajmfw3uyQ2UoAN2WH8EMF\ndXCcZuG4zdaJ05p9v0u40oLtBJE61sLI3Zl2DA58HMBK45dSoufUBtfPGdR4wuk4QYfxRP31tUqf\nLwhJzurJ9VXMVgIAsKXjBJqmT41Nn0BHDPaYwkwJnLNgOY60NqOz3Vp205v+3pMwsoO+ZN6yzbxt\nPLfpmdyFiZx7HtYyslLea5t+6+c6c/NY1mygIIS5xGhpTTVajmfwYFe377o9mYHzea0E8OuB87b3\ndbPcy+nOGWncYYNZPXbYTlDyhTWeyAU7dm/fjM72230/X1DjCe7WR26MbSWA+yRsl3376Y+5eWwS\navsw2GMK+0tGVWMgRBWMag65y2I1hNg58vvcF/LAuW6cPX0RhrPFiy3nf3lzFyYqpXZJPTqPPWek\nHRSRO7+qppzEpAt+gsrJ011dZ06vUb/1Htj5p0LCDlqoCi5VQua1EsCzlgs215k5PTCAWX392DRs\n/M5uHbtdx8fJZ6B7to7X4szkDNsJSguOJwqPJ0qJ+3gi6CVcSc7qAYw+xc+6ukveL9cP+XVlJZ6v\nlLiwstJVf8xpX85rbR/dAkQM9liE+SWjqjGonDwdeNPmNozvzBjzuc8AuH1c4bOkFjVkpyx4cxYs\nR9eJ/Ti09xFIeS+A8Z2N/POrorIRi97ufo21k2vU65acSb0GSK0wgxaqgksXVlYCvX3jb8P4zsw2\n5FqJ8YWUk1rUcMerb6DpO88DAJa9551414rrx/y+UL0eP0u40pbVw3aC0oTjieRdIy1Nz+DlnS8A\nAM595CYsf9dtER9R8iytqcYbl5zBlo4TuM+cGMif5BrXDymfgMFL57ruhzjpy7nZXKLg8WnQT2Kw\nJ0IqGoNiEf1xWzNiNYy1uOPTPb12fHSWlAYnDgGrK29ci5kXF+5sxOH8isMxUvqoCC4VyxDK78ys\nRqFWwlvHR3c7Xn0D3U/uxJf7BgAAj+0/hB9D4F0rlnp+TidLuFRjOxGOOBwjpQ/HE8FqaXoGP3gs\ng/7ehwAAjzy0DUI8g2W/6y/gE3ZWj24ZJ3buXngZmqZPLTjJpXs/RMfjY7BHoSg6W+4j+kbl/jRs\nU5iEBidOAStd0m+j2JIzDgMt0kMUnS23GUK5/V3iuu35/JVXOb7vz15sxcN9AyMds4+e6cVn/vNZ\nX8GesLGdcI/tBOmM4wm9vLzzBTPQY7QUZ3tW4+n/+KyjYE+xJVxh0jHjpBBdln2HWacxJ4g+IoM9\nikTZ2cp1nnKNw5HWZkybMQn9vSchxGjK9ITyBkyedghVUzaM+xKPouNDpSUhYAWEXwDdS0qz12OM\n00CLohVlZyvXecp1JFqOZzBx8iRkBs5ji8BIynTDhDK0VVVhfeXEcR2NKDo+utJpCRfbCffYTpCu\nOJ6Ip0L1elRQkdWjY8aJF2FvlOF2Kb2f4wuqj8hgjyJ2na39L60OrSEf2zh8BZ3tLQAuA3AGEKsw\nbabAorevwJwFX7R9fKmOTxxnpNLa4Ogo7IKFXmaPvR5jUgZaFDy7ztY9h9tD62xZOxJfAdDS1Y35\nAM4CWAVATpmEGy6di88WOJ5SHZ84pIjne8d1S/DYyS589EwvAOCxqVOw7D23jPy+UL2eQqJYwpUU\nbCeIoj9XOJ4Y75oVN+L44W3o710NALhg2jbc/v6bfD2nmyVcNCrsjTLcZhn5Ob6gAnIM9gSop0ui\noy2caPxo4/AMgGkAvmH+5nFA1qNy8o8876oV1xmpJGzjmKSAlS7p+8XE4RgpWURvH5oynaEERnId\nCZtWAvUAflhZWfI4CnV84pQibnXr71yO5xcsxmf+81kAwLL33BLoEq4gCjOznQhXHI6R4mvg3Pjd\niOxuC0paxxP119cW/F3d0tsA8QzeePGzAIDb339TaEu4VO3AlaTMXF2WeRWi2/Ex2KNI7ZJ6/ObY\naIqj8aX4YRxpLf2lqNbzAL6E0SJqqwA8gP7ek9i9ffPIsbo5pqhnGfyIe6csiIBVHGdVnIjqfSVp\noAHOStEAACAASURBVEXBqptdgy2nukeWTD0O4MMAfhhyKrV9KwFkBs6jsbll5FjdHFOcU8TftWKp\nqwBPoSVcUWX1qG4nktpGAGwnSH9S9sPY7Wq1ecs287aw2bUU69Cd+Q12b9/s6fqJ83ii7rrb8Mer\n7LYucL+EK4qsHtUZMXHM5HUqqvcWVECOwR5F5ixYjn17Po8zXcdgfIndDOA2AD8K5fVHOxJ2nc03\ncK7nd3Gmax0APSLpSe5MqqYyYKXzrIofUa9xj3sGGYVjaU01Hjp8DB2958a0Ej8M6fVzHQlpdiSs\nDgB4V38/1vWeA6BHZk7UnUm3S7hKCXK7dVXtRFLbCIDtBMVD1ZRZONN1MYzdrgDgJlRNmRXa6xcf\nT/RhcOC76GzX57uB4wnnVGWcxDWT14moaysGsUSNwR6FFl+70uxIqJ+5KfVllutI7NtzCGdPjWYY\nCfEIqqb0o+/sOniNpKuekUpyZ1J3+1/aicGBbbA7F5w0mLo2qlHPFsU9g4zCc8ull6Bi38FAUqlL\nBUdyHYmDh49hy7lzIxlGWwTQP7EC6wYGPWfmqJ6RSnJnUmelvkvZTnjHdoKcMPrcHRgc+BIA9Vlg\nXscTwGYAH4Gf6ydN4wmdlnCpViqT18lETdSTOYVEnaUcxBIwBnsUCmrmxumX2dgq+qPHcKR1PvrO\nen991e8r6g5XWnW07UJPl/0yAyfnmM6NKlFcBDVz4zQ4Yt2Vy3oMlx7PAAPe60Kofl9hdbgmXnuD\nu+PSbAmXasXqhbCdIApekFlgfsYT/b0ncabrfl+vz/FEMgoznx4YKHibk74IJ3PCxWCPYkHM3Lj9\nMrM7Bj+RdF1n6cidI63NgPwwjEohqwAYmV9GQLD0OaZzo1q7pB5vnvg0hrMTAABl5UOsh0DaCmLm\nxm1wxO4Y/GTm6DpLp4sgl3CpVKxeCNsJonAElQXmZzxhBIr8ZeXEeTxx9RXC9vagtlzXNasHAAYg\n8loJoN88p5z0RaLOnimmbnYNPtV9GuXDxgROtkzEtpB1TuqCPXH+ovHKTyQ9iFk6FiqM0u0wdlj4\nHACJC2YcwpwFXxy5Jpx7GsBOdGfaQ9txrhSBywCsM39uiPZgKNbSGLjwk5kTxCyd12Vh81de5fk1\nrVTX64kLtfVC2E5QcqVtPOE3K0fn8USxnbi8ULGES2c1lRNxce85SysBXFQ50dNzGa0E0NFzNrSd\nSUuZLwTWwQj2NAiBuOftpirYE7f04lxD0t97EhPKGzCUNTooXr7MvM4SBDFLx0KF0RjbKN6GispG\nLL52oc3v7M+x0fvMAXACwIMYHACadwZ3HTntTB1pbcZQdvQ8Hcqu02I2OW2dwSSIW3pxLjCVGTiP\nhgllWDc0DMBbzRyvGUdBzNIFtdwtCKWWcMUlqwcoXi+E7UQw2E7ET1rHE34yjjiecL6ES+esHsBo\nj4/1nMGXbCZjnEzU5O5zSXbIbCUAZLPYuu9gYP0tp5N4Lccz2DQ0PNKfWTc0rEXWkZ9JyFQFe6JK\nL/bSkOc3JGXln8K0t6xG5eTp2n+ZOcFCheEr1ija/Q4Adm/fnHffXWje+TUMDnwXKq8ju2skbp2p\nfHE//rSKIr3YayOeH5j6VJnAPVMm4cLKSq2DI04FsdzNSlW9niRhOxGuuB9/WkUxnvAaFOR4IjhB\nLeHSXbHJGLvfAUBjc8uY+zYBaNh3CE9ms0r7W3b9qbhN4uXze/ypCvZEwWtDnt+QDGcfRuXkDVh2\nh7fiaHtf2Iqj+w8AAOYtWogrb1zr6HFccpUsxRrF8Wuz7c/bI63N6GxXd0yFXstNZ0rH81Tn2hWk\nDz+NeH5g6uFhifWVlVhTX+fpWJ44cAiHT3YCAC6dVY27F17m6HGqd+KKmsolXHHK6slhOxEethPk\nhJ+gIMcT/hWq12On0BKupGT15BSbjLH+rlgfp+V4BujyvjFEvkKv5WYST8f+jN9JyFQFe6L4onHT\nkFuj9nY7YuTfx2lEfu8LW3HwtVoADwEADr7WAOBRXHnjx0o+Nm4pkmkQRsp3sfO20HXk9bgKvZYb\nPE9JlbAbereNuHXWym5HjPz7OM3weeLAISw8dgL/YP5/w7ETeAJwFPCJ05Ir1XTchSusZUFsJyit\nwh5PuA0KcjxBpYRVm7BYH6dQf8vrsRV6LTeS2J9JVbBH5y+a8WmWnx63rnbajCpPkX0jAv8QMHL6\nr8PR/XfhyhudHRuXXOlDh5TvQqn8URfe0+08jfMsVprp3NDbLdvKr9MzcfIkT5lCh0924h9gbSWA\nO092Ag6ze4JechW1uCzh0qGNANhOOMV2Ip44nkjOeEJ1ceY40GVZU6ElX1Fv+KBbf8bvJGSqgj1A\n+F80Thvy8WmWX8HUmR9C1ZTXR57nSGu/+TxM902rsFK+S523+dfR7u2bPc86TZsxyfa1vHSmdCp0\nqXNnkIoLs6F304jbLdv6oymT8EtzF4y62TU4fzyDtZpuaaoTt/V67OhYmDnMZUFsJ/xjOxFfYY4n\n3AQFOZ4Ih129nrgs4QqzNmGpPk5+f6uxucVztvPEyZNsX8vLJJ5Ou7L6nYRMXbAnbH4a8qops8as\nqXW/PbZh3qKFZqrlOvOWBsxbdLmn51JBp44W2QuyA2o38zxv0QH0nLIvCOq0oPn+l3aip0sC8sMA\nbtei0KWOs1ikF7+N+EWVE8fU6GlxmbKcc+msajQcO2FpJYzbouKlo6Vi2/W0brnuBdsJNdhOUCl+\nrzWOJ7xzU6+HxgsyW9ouQ6l1Vg3Wn+sb91pOJ/GaMp346eF2iN4+GK2EHgWd/UxCMtgTAicNubst\nTd2l+xrF0x7F0f13AQDmLbrc0fraIOiSYh5XYaV8u21A/cw6DQ6sQc8p78UCR8+pbeYtjwN4RuuZ\nKuvnS+S0EXezpanbdN+7F16GJ2Au3YK7As2q6ZJinuNlCVdUhZnDXBbEdiJYbCfIymlQkOMJ/a5l\nJ8IszBxmbUK3Ezd+sp3XZoew/lyf500qcn2Pb5ivbbQSemdIWz/fQhjs0YSTqL3zbU/Hu/LGjzle\nUxsk7jzhTxgp314aUL/HVaiAoBP55xSwCsDnANzm+TmDNPbz/WrUh0Mx4mSGzOm2p3buXniZ4xo9\nQQozxdwrHQszA+EtC2I7ESy2E+SVl/HEtBmTcKS1D0dam0telxxPBLOEK0xh1Sb0MnHj99gKbVzh\nRH7fQ+9WYuznu6XI/Rjs0YTTGTKn255ScgWd8u21AXUz69R1YrRYILANZ0/XoKNN5bkrtS10OX7Q\nQeSM0xkyp9ueplWhej1JWcIVxrIgthPBYjtBXrkdT4yOJYwsH44l0iGM2oReJ27cZDs3nO4Z2aRi\nG4BZff1oynQqe28Semy/bif/8y2kLJSjoaJyX7Sd7RvR2b4RzTuH0dG2q+TjjM5ArsCaMDtbhVN+\nO9p2Yff2zdi9fbOj5w9C7ZJ6VFQ2wrh89O1oUXDmLFiOydOeA/AAjJj5bAxnH/acrp5/TgnxCKbO\nPIT6FWXsrFBijARturqxqasbFfsOoinTWfJxLZaCzQJGZ6tYym9TphONzS1obG5x9PxBqJtdg63l\nE8wrOtqOVpyWcCUJ2wki97yMJ9yOJXKvk4TxRKmduMKq1xPmEq4kWVpTjR1VVZZWwti4wmvtwvy+\nxxYBtE2ZjMHF82M9QcbMHg2EkYqoSxYQd57QXxg1H6qmzMKZrgcxOmvpfUmE/Tn1Rd/HGJT8z5fI\niTCWNumSBeQljVtFcWandF3CFSa2E8FiO0FecDwRzRKuQnRcwhWmMGoDXVQ5EQ/2nlPQStj3PT6r\ncZAn//MthMGeGPNb7DCqWjnceUJvYTSgKgYK+anKXgt3hs36+Xa2R300lHS+ix1GVCsnjBTzIKQl\nq4ftRLDYTlBY3F5nHE+MV6hejxNJzuoJozaQioBS/hJ5rwWewzbm8+0qXNOOwR4NeO3QMEuGgpJf\nG8pJEXC3z+/n3NVlZsmr3Of7vS0svEnOeO3QhFWIMS7c1OvxsoQrTaw1P460Njsq7ur2+dlOsJ0g\n57yMJziWsMct19XITdzkAiotxzNK+yF++zi6ZDR7lft8tzy7u+B9GOzRgJ8vWpVbMXrldvtV8ifM\nzzvIzrKfGRmdZpYAXgMUPD8dGpVbu3vldvtVXcVlCVdY30lBB1TYThA553U84eY6C2o8kbTrIw5L\nuMJql4MOqPjJBNYpoxkI5m/CYI8mgk5FDCpyH/eZs7gJ+/PWrbOsI14DFJaglzYFlQUU95kzp3RZ\nwhXmdxLbCGfYTlBY4jieiOL6KFWc2Y6bLdediHIJV5jtsm4BFV0F9TdhsCdFgmgA2NELl93nvW/P\nhxI1G+JEGMVBneI1QEkSREAp6I6e3+LMSVvCxXbCwHaCKBiqxxO8PsJn1y5/8PCxRGTguhFGEWmn\nguorMdhDFGtP4+ypm3Cm614ApWdD3KbJ6tRZtuIacyJyq1C9HqfisoRrvODaCV3bCIDtBBF547de\nTxyWcOV7GsBN587hvt5zAEpnlbhZbqRTQCVfGuoaxi7Yk7Q1nTl7X9iKo/sPAADmLVqIK29cG/ER\nOaNzRy+Jxm3HKr4JKR+Hk9kQL2myOneWddmFgdeAfpJSH8aqKdOJ5w4fw+DAeVxQWYEbLp0bm/el\nc0dPFV2WcAHhthM6txEA2wmyl9SxREfbLuzb8xT6ewcx6YKpWPT2FbF4b3G4PpK0hAsY3y5/E8Dj\nEo6yStwuN9I9oKLL7p9B9ZViFexJ6prnvS9sxcHXagE8BAA4+FoDgEdx5Y0fi/KwHNG9o5c0+Z/3\nwDmBnjedPdZrmqwunWVd8RrQSxLrwzRlOnGo9Q28e1hiNQBks2h4vS0270v3jl6+OC/hAsJvJ9hG\nlMZ2Qh9JHUt0tO3Cyztex3B2JYDVGBwAXtnRgDi8t7CvDy/1epImv12WAwNAb5+jx3pZbqRLQEVn\nQfWVYhXsSeqaTiOj5yGMxlPX4ej+u3DljREelAvs6IUrf1v05p16z4akAa8BfSSxEGDL8QymmoGe\nkVZiaDhW7yvqjp6bLdftFFvCpVNWTw7bCf2wndBDUscSR1qbMZydDFhaiqHsuti8t6RcH06WcEWd\n1ZNjbZebMp3Yuu9gojNw4yCIvlKsgj1ENJab2ZA4pMlGLamp3URJ5bc4cxqwnVCL7QRRcjmt1+Nn\nCZeO3GSVpGFptl86lROIVbAnqZ2QeYsWmku31pm3NGDeosujPCSKEaezIUwjLy6pqd1pk8ROSN3s\nGhzqPo1tuWVcABomlMX+feko7ku4CmE7oQbbifhL6liidkk93jzxOoaz2wCzpZhQ3pCI9xY1u3o9\nSeQ0qyRuS7PDpls5gVgFe5LaCTGKMT+Ko/vvAgDMW3S5sno9nIEiq6SkyQYhqandaZPETkju+P/r\n8DFsD6BAs04zUGFK6hIuv9hOFMZ2Iv6SOpbIvQejQPMPlBdo5niitDgt4fIr6qXZOtOtnECsgj1A\ncjshV974MeU1evzMQPFLnYjiKomdkKDek58ZqLgEifxuuU5EyZLUsURQ78vreELHsQSLM1PalEV9\nABQcYwZqDYwZKGHOQDWXfFzuS72zfSM62zeieecwOtp2BX68RFGqXVKPispGABKATExqN1ExLccz\nWGvOQAkYM1C5AE4xI0Girm5s6upGxb6DaMp0Bn68Vqrr9SR1CRepw3aC0sjLeCKOYwm7ej2qt1yn\n5KubXYOt5RPMViL6cgK+M3uEEHMBfANADYz39DUp5Vf9Pi+N8hIZ72jbhe5Mu6fXY5oypVFSU7uj\nxjYiHF6ybJoynejoOevp9XRLU3aLS7jIC7YTwWA7EY4wxxNpG0ukaQkXFadbOQEVy7gGAfyZlLJZ\nCHEBgJeFED+WUr6u4LlTz0vq5OhjPg5gG3KF2jgDRVRcUlO7I8Y2ImBelmLlHrMuO2RpJaKfgVKN\nS7hINbYTgWA7ETCOJ4jCo1M5Ad/LuKSUJ6WUzebPZwG8DmC23+clg5fUydHHrITxp3gAFZV3oX5F\nmaMOCtOUSScdbbuwe/tm7N6+WfsUYBqPbUTwvCzFyj1mtJUA7iwvx+Di+Y46KFGnKYexhItZPfHB\ndiLe2E4EL+zxhI5jCRX1eriEK76aMp1obG5BY3NL6MvOo6S0QLMQohbAVQCaVD4vjec8FfN2ALdh\neo3z1EmmKZMuWGQ8WdhGhMvp0i6jlQDWT7vA8UyUbmnKbjhdwkXxwHYiWdhOhGfgXDd2b98MwMn5\n7248EbexhNN6PXacLOGiaKVhM4pClAV7zLTLfwfwSTMqP+L1F0eX3f7WnKWonrNU1csmXu2SenRn\nGs3IupE6OW1GVdGOjd1j3EbTmaZMOvC65ttP57/Yc/odFHR2NOE3HensvxZrIwCg4dDRkZ+vmXEh\n3j7jwhCPLt7qZtdga88ZrM11YsonYOLkSUU7NnaPcZuZo1OaMqUX24nkKNVOcDzhXf7YYEJ5A86e\nrkHPmw8DsD///Y4nOJYYxXo90fJaZ9BPkKjYc/oNHr106jRePnXa0X2VBHuEEBUAvgvgCSnl9/J/\nf8V1n1DxMqlkFxk/0tpvScUc37GJWzSdSDXVhQFVDQqq8zqn+/ds9nQ8cVOqjQCAdZfNC/egEsQu\ny+a8ZWkXML5jE+fMHKdLuJzW6+ESrnRiO6EXJ+0ExxPe5Y8N+ntP4kzXt1Hs/Od4Yiwu4Uof1ZtR\nqAoevT1vUvRrRwoXUVexG5cAsBVAq5Ryo9/no/HyI+NOtk9nNJ3sxC1lXUWWmgpp21VCJbYR4cjP\nsnGyfXoaM3O4hKs0thPesJ3wju1EOKxjg93bN+NMl7vHxJmKej00Km5Lm1RkM6sQxU6mKjJ7lgG4\nG8BrQohcjtpnpZRPKXhushF0xyZuHT1yJoiU9aDlZpX2v7QafWfPoGpKBYxCgcXp0vknAGwjIhF0\nxyZuHT1yhu0E24mIsJ0IGccSo4Ku15O0JVxBLG0KWi6b+Z7D7Tg7MIjyyom4xcHjdAkS+eE72COl\n3AUFu3qRc0GmVcaxo0fOxHnWse/sTRgcWIPBAaB5Z+lzUvU1wkGBd2wjohHkMq0oO3pcwhUsthNs\nJ6LAdiJ8HEuQV1Fkp6hy88B5I3CTzWLrvoMl+y6q+1JRBI+U7sZF4QkqrTLOHT1KJq/npMprhOvW\nKY6CWqYV144el3AlF9sJIvc4lnCO9Xriz2vfRWVfKop6iQz2aCBOqY4UX5x19Ccp69YpnrhsKnpJ\nz+oB2E74xXaCosTxhL1i9Xq45bp7SVjaFKWw6yUy2BMx3VId2dFLrrjOOvKcpLTTbX18VB29qJdw\npQHbCaJ40mk8wetxVNLq9QDx3c0zrUEqBnsipluqY1w7euRMHGcdeU5S2um2bCqOHT0u4XKO7QRR\n/Og0nuD1mHxx3M0zjn0XFVIZ7GGaY3Fx7OiR3vxeczwnKWxcNlWcrh09p1k9bqVhCVfU2E5Q3HA8\nUViSrkfW69GH376Zrn2XIKUu2KNTmiPAVEdKPt2uOaJSuGxKP06XcDnFJVx6YTtBcaPbOcvxhHus\n1xMvuvXN4iJ1wR6d0hwBpjqSnlTOVtldc/tfWs3znLTFZVPJwiVcwWA7QWnG8UQ8FCvOTMFTmSVt\n1ze753A7+0MlpC7YEyanHaEkpTpS/IUxW9XTJdHRxllbIqcdoTSmHueoLszsFpdwjcd2gig8HE/E\nUxKLM7sRRiaO6O1DU6Yztf0jJ8qiPoCw1S6pR0VlIwAJQAaW5pjrCHW2vxud7ZOx55nnsPeFrcpf\nJ6462nZh9/bN2L19MzradkV9OGRhzFatgTFbJczZqmbPz1e7pB5CPILcNQc8DsgP+3pOoiDVza7B\n1vIJI2dsUMumch2h93Z1Y2pXN372ywN44sAh5a8TV02ZTjQ2t+CLX/8+drz6hrLn5RIu/9hOUNpx\nPKGHoMcTrNfjXcvxDNaamTgCRiZObnLLi7rZNdgixrQS+LD5OlRY6jJ7wkpzNDpC7wZwEsCDgAQO\n7X0EMy8eO0uVxuJuuq1zpmDNWbAc+/Z8Hme6jsH4ur8ZwG0AfhTtgREVENayqZbjGbw3O5RrJQAA\nWzpOoGn61JHXS2uh6DEzgl3deOxYBjuEwK1vW+DqebiEKx7YTlDc6DSeSONYAlA/nnBar4eisbSm\nGg8dPoaO3nNjWokfRnxcuktdsAcIM83xeRhdeGN1oZT3jlnPm9agh27rnGmsIIr8Lb52pXmus3Ag\nxUNYy6bGthLAfRIj9YHSXIwwf23+R/sG8KmmloLBHi7hChfbCSI9xhNpHUsApccTxer12BVndorF\nmZ0JYnOJWy69BBX7DqZ6wwq3UhnsCUPtknp0HnvOyDMrgEEPCoPbGZ8gZqtYOJBovLrZNfjZ/2Pv\n/oOsKu98338W0LT4A5FJdyIE7Qn4q3uibRxpFCQYAzrjXGPiuSfJqUxUmDrWRDnDuaeOE5M7t6Zu\nnYnz49wZZsBMeSs0ZGoqZzJ1JrFIYhSvEbVRGqO2yelGYndEmwazO8EWRGgaWPePvXeze/f+sfZa\nz1rrWWu9X1VWqXTv/bTC/q71Wd/n+xweq/rrtg2KTppKXT1s4aqMOgHYqd79BPcSiEqjncZhdElz\nYEXjCHtCsnDJCh0+tE+//Pk35bpfkcRTqiKOh4yO3yc+YTytYnAgMFVXa4ve+OhRPTJySPcXLuR5\nSpXXsaBVW48f173HxyVJW+c064aujopfS1dPMNQJwF7cT1QX9v0E83rO8ttpHEaXdJYPrPCDsCdE\nH79pneZfXP0pVVZDD57eRSeLT3yyuncdyfSlyz+m3nkXVHxKFUYLdFL8hy+v0dM/G9SDvf2SpBu6\nOhqe11OOrp7KqBPUCdit1v1EVu8lJLP3E8zrqS1rncZpmpdI2BOyWk+pvH5IpfGihKd3CEOlJ9SH\nD23RkXePS0rPnx+kS7WnVI20K6fpwqR41PotVy+pG/BU6+phMDOqoU4giapdNzcSeGTpfiKseT1I\nv2pdTJISeZ1F2BOzeqFHlgevIbisPfGZ/oR6oX758xOTrc/8+UHSeGlXzvIg57BkZQuXRJ2gTiDp\nvDxA5X4CQWSp07hSF9Pn3zygNePjibzOmhH3AlBb/qJkrfIXJU6hvbov7mUhIRYuWaHOVTPUsmiD\nWhZtUOeqGaks7CODPdq1fbPGcsNlv/Js4QKePz9Ir/6DOa0rXJg4yl+YFJ8+JU2xq8eLRrp62MJV\nXRbqRLFG7Nq+WeMflA9Fp04g/bifMCOrJ3F1tbZo4srFWj9/ntbPn6eJKxcnIuhoRG9uVN19/Ro5\n8v60X5sYP5nY6yw6e4CUS8OWuVqtx1OfVj0p6VFJ9+V/0RmpeSIeAHs0EvTArDTXifKOhhmz/lQz\nZz2q06eoEwDgVRoGI1fb8l7aIV12J6Ets2bq/OYm6dSpWNYcFJ09lmtr71RTc7fyVyJu6turgXLF\nC/XR4Y0aHd6ovp1nNDLYM/nrU59W3SapTU3Nd6ll0QYt/vgC/vwg9ToWtGrLrJmF3+Xpbq8uCrOr\nJ0tbuNKiVp0o72g4c+qvdO7cZyY7magTyALuJ/IqzeupNJyZk7jSZzLQOTymTYfH1PT6kHpzo5Km\ndkjn7ySkz82aNdnFdONvL0rsdRadPZbj5CpkXeMnxdyqea0/1vI7HpCkmifiAWnQyCBnW9HVgyAa\nrRPnnPeRyRohUSeQflm6n6g1nBnZ1ciJYrdK+uHc87W2s2Py3yX1OouwJwGqtVebnKqfxgn9yIZ6\nw0XTsD0BqKdae7XJU7rCOvGr0aCnWlePCXT1pI+XAdTUCWRBpd/npq//uZ9AEnkZQJ3UbWyEPQll\ncqo+E/oRRNiF3UuYk5WnVUAjTJ7SFdaJXyY7ehjMbK846wQ1AqjM9PU/9xMIIqwHSkW1Ap00dEhX\nQ9iTUI20LNe7yGp8m0w8qrVl8iQ2PlEUdi8X6jyVBaZrpGW53kVWI6/llZ+gJ8yuHoTDhjpBjQCm\na/T6Py33E7BPWA+UStULdJLauVMPYU/KJTll97rntvzrCH+iE1Vh50IdCE8UF1nlTM/oYTCzvagT\nQPIl+X4iLotvu1ZDT7wa9zISIYwHSpWkNdCphdO4EsrrVP3yUyjyF1l9vl4rCp3L2ib/CvIagJS/\nONm1fbN2bd885QQvIAu8ntJVegqFo/xFVrHLp9HX8sJv0NPICVyAV9QJZFUj1/9Ju5+opNJJXIAX\nvblRdff1q7uvf/IEr6SgsyehTO5Bt2E/u+mApvh6PKkNl5fBl3HhKRSyzuQedFOvZTroqYauHntQ\nJwA7mb7+T+P9BKLhZUByXOLofjaJsCfBvLQse73Iiqv9OewP5c5lbVzEh8iGwl4Ne8cBby3LXi+y\ngrQ/h3W0Ol099qNOAPbyev1v+/2EXx3z3op7CZDdA5Kj2mIWFsKelLP1IivK5J0un3AlrbDDTqVh\nAHvcoxX2RVbQoIeunuSjTgDJZuv9hO2Y2+NdFufpRIGwJwNsusiKs72SLp9ssXnrAGqrFA5wsRSu\nsC6ywgx66OpBUNQJwDub7ieAqNi8xcwLwh5EwpY9tAQ+2cFTqHSpFhoQAtnJxLYtP0FPo109yDbq\nBICw0d2TbDZvMfOCsAehsiXkKUXg49/IYM/k6QtJuCjmKVT6EQLZJ+ygp5pKQU891AKzklYjJOoE\nkBZR3HPMvv5GnXzphdDfJ816c6OTJ34mJThJ8hYzwh6EwsaQpxSBT+M4tQRJwlaw6Jkawlwv6Glk\n+xZdPdGhRgBAZXT35CX9ZKskIuyBUbaHPKUIfBrDqSVIOrqAwhHWSVuVNLJ9qx4+/82iRgAAakn6\nyVZJRNgDI5IU8pQi8AFAF5A/YYQ8frZvVUNXDwDAFnT3IA6EPQgsjKDnE1c5db/G1IU8gY83nFqC\nLKkVZGT9Yi2sTh6/27fo6rEDNQKArbzcV3jF3B7/kn6yVRIR9sA30yFPox/EpV8fNPgh8Kkv5Uo4\nWwAAIABJREFUyKklSRzaCVSTxU6gsLdqmQ566OqJXtCTragTANIu6909QU+2SuJw57gR9qBhJkMe\nU0n7J65yCHwi4OfUEoZ2IgvS2AkUxSweL9u2GhnI7AWf8+Hxe7IVdQJAVhD4+DvZiuHO/kQS9pSH\nA1xoJZONIU+l1wwS+hD4mMfQTmRdkgZDRzlsOWjQQ1dPelAnAMShf+xSdcx7a9q/P7RoqS4e3lP1\n+4Ju5cp64OMHw539iaWzp1powE22nbyGPP29O/TyzuclSdetukkdXWumfU0YIU+l9yDwAWA7L8FK\nWBeDUYY6pZ5+7Q29uGdAMy6cp+XHZmj1qmVVvzaMoIfPdgCwWxhbOl/Z60ZyD9IIAh9EwaptXIRA\ndmmkk6e/d4d+sDWnE8celiQdfHOb5OxQx9J84BP1B6yJbV0wg6GdgH9xhTJhePq1NzT2vZ366+Pj\nkoa1dd8v9ZQcrV7VNe1r/QQ9SC7qBACJLZ2ojuHO/syIewFedC5rm/YXwuPnv/HLO5/XiWP3KN+C\n7ejEsXv08jP5Lp+4kvQg78vvMXMWLlmhzlUz1LJog1oWbVDnqhkUbSCDXtwzoHuPjxeqhHTv0WPa\n9aOfTPs6v0EPXT3JRZ0AIBW3dK5V8X4iv6WzL5a11JsX52Urcj1peqATtq7WFk1cuVjr58/T+vnz\nNHHlYrZweWBVZ08j6AIK7ujgj9U08K+SpAWfuV+XdP07o68/97z4gp6iIB0+adzOFddpJ36HdgKI\n12Ov/Urf3jMhSbp7aZPuvObDvl5n9vU3asa/PitpuObX+R3GTNBjDnUCQCM4SS+YJG7niutULL/D\nnbMssWFPNYRA3hwd/LE+s/P/0gPj70mS/nHrXr3sOLpk6V2+Xu+6VTfp4JvbCt090vlzt+nWz640\ntdxACHzyaI0F0IjHXvuV/vP3Vurd4/dLkvoOPCI5z+nOqxsLfIpPP5fffrO27vul7j16TJK09YLz\ntPz2T01+Xb2gh4HM4aNOAGiE6c+MpG3pDDqouShJgQ+nYiVL6sKeagiBzupc1qaBZ3+gB8bfm5xo\n/sfHDusLz2yRfIY9HV1r9LGPPqUnv/+QJOnWz67U8k9PH9Bc9fsrTMKvxs+8BgIfTjsB0Jhv75ko\nBD35z4x3j9+vb/c+rTuv9v4apW3uq1ct01Ny9NXC1q3lt39qcl6P36DHizR8fkeFOgGgEaY/M/Lf\n16P9AxskRdMpVO1ELqn+qVxS9gIfTsVKlsyEPdVkJQTyO4PGywlbUmG71lVrQgt4Kn1foxf/BD4A\nYF7xhC1JumFpu2655rKqswxWr+qaNpA5SNDD9i0AsF8jW72yvKUzKYEPkiPzYU81aQiBagU8569a\nq3988xX98bHDkqR/PG++zr953ZSvqXfCluRvJo/fkKfa6zQS+mQ58ElaayyAeN29tEl9Bx6Z3MZ1\n0ZxHdHdX05SvmXrClrT1QE7PLrlSqz2+R5hBDxpHnQDQCC+fGVnYHmqqu0eyP/DhVKxkIexpUL0O\nmTjDgEa6dy7p+nd62XHyW7cknX/zumnzevInbD2sYmtm/oSth3wfp24q5Kn0ugQ+9cXRGgsgue68\n5sOS85y+3fu0JOnurqZp83pe3DOgvy6csCVJ9x4f11d/9JOKx6mXCzvoSepndZyoEwAa4eUzw5bt\noa/sdaveuwTdymVa8ZQuG0OfrtYW9UpaH8OAZjSOsMcwL4FLkAtQk0eCX7L0Ll8zemwJecrfg8Cn\nviy3xgJo3J1Xf7ihGT1eEfTYizoBoBF8ZuSZ7O4psrXLh1OxkoOwJwaNBjalc3OanOpzc0yrdMLW\n//6lxk7YiiLoKX+vIIM8vUpy4AMgfSrNzYnCTf/hs9r6t1uqnrBVzsvR6mzdAgDz4joiPQ3bQ712\n92Qp8EEyEPZYzsvcnLB0dK2RnB16+ZmHNPe8xk7YijLkqfTeXgKfIN09EoEPADtUmpvztOPolquX\nhPq+s6+/UaulqidslYsq6OFzGQCminNujk3bQ/1u5ZLi2c5VZPO2LtiNsMdy9ebmhO0P775Vf3j3\nrZ6/Ps6QpxSBD4CsqDQ358He/tDCnvKTtiqdsFUuaNDjFZ/HADBd3HNzsrTVK4zuniK6fNAowh5U\nFOUpW15Sci83Cn4R+ABAfdWOU68nyHyeIub0AABq6du9P/BsU1PdPQQ+sMWMuBeA2q5bdZPOOW+b\nJFeSq3PO26brbr4p1Pf0M4C50aDn4uE9k3818vWNrssrP+FWKZODswGgETcsbdfWOc2FKiFtndOs\nG7o6jL3+7Otv9BX0HFq0lKAHACzQ1t6ppuZuFe8nkjg3x5SoZr/5fUDixeLbrp3c2gXUQmeP5Urn\n5kjSdTffFNoWrii6eYLudS1+v9dOn0ZP6QqiGPhw0wEgSrdcc5medhw92NsvSbqhq8PYFq6wunmk\n+kEPw5gBwAyb5ubYzubZPeWY5YN6CHsSoGPpmlBn9CQh5Kn0eqYDn6DbuYrY1gUgardcvcTojJ4g\nTySjDnr4vAWA+rI0N8cWYW7nKsXWLlTDNq6MCzvo8bP9qpHX9srrmoNu5ypiWxfQmOJWoTDbnlFf\nkP8HXrZtSQQ9AIBweK0J9epMvTrVyCzRqK5r2NqFSujsyagoQp4oNLKtiw4fIBmqXRhF8XQsi0xc\niJo6bYugBwCQBI1s54qqw0diaxemIuzJGL+dKzYGPWEi8AHsQwhkVlQhj0TQAwCwyyt73Zr3RfVm\n9zQqysBH0pQuH4Kf7CLsyYi0hzxeZ/g0MrDZZOAjcXMChIUQqDGmWsoJegAAtjFxBHtRkoY110K3\nT3YR9qRckBk0SQl6StdgOvAxiS4fIFqEQGeZnBnQyKwCgh4AgK3qdfd4Yet2rkro9skewp6UylLI\nU8p04GOqu6eILh8gfrWCjzQFQWEMhTTZzSMR9AAA7Jb07VzVEPxkA2FPygRNp6MKerx+yPm5WWnk\nWHYvTAc+El0+gK2S3A0U9okfBD0AgCRoZCtX1N09kj2BTxHBT3pFEvaU/gEyfdOMvCSEPH4+1Irf\n0+hNjJfAJ475PaXo8gGSo95nUBwXbVEd5xrnti2Jz0gAQLy8dPckPfApIvhJF8d1ww1fHMdxt/90\nou7XEQL5EzTkkcIPekx9kDV6Y2P6KbQU3u9Tbmay6bFHLpfrusH/ECec4zjuB898J+5lRKrW52JU\nIY4XBD1AvKgTeY7juHfe/4u4l4GEaWRQs5d7Ki/3TI3eK9kY+FRD+GOn636yq2qdsGYbV7U/YIRA\n05kIeIq8Bj1xhjylr9fITZDNJ3SVo8sHyBabAp1KTIc8EkEPAADlbO3wqaS060ci/EkCa8KeagiB\n8kwGPFK43TxhfmCFFfg0IqzARyL0ARA/gh4AQBqYnt0TxnYuKVmBT6ny8EciALKN9WFPNbX+MKYl\nCDId8BQlNegpfQ/TgU+jx7GHGfhIhD4AotdoME7QAwDAdFkKfMpVCoAkQqC4JDbsqSXJQVBYAY+U\n/JCn/P1Mb4NoNPCJQunTCG6AAISBkAcAkFZxdPdI2Q58KqELKB6pDHtqsSkICjPYKZemoKf0fb0G\nPknbzlUJ3T4ATCPoAQDgLJOBjx9pDnzK0QUUvsyFPbX4CV+qXdBGGeTU0ugHUSNBjw0fRKYDH9u2\nc1VCtw+AoPyE3wQ9AAB456e7R8pW4FMJIZA5hD0B2RLqVJL2oKfI9JauJAQ+RQQ/ABpF0AMAyJJG\ntnJJ8W/nkgh8KiEEahxhTwqFGfJIdgU9jQrjOHYp3sCniOAHQC1hhjwSQQ8AIFsIfOxQLQSSCIII\ne1ImK9085eKe3yPZEfgUEfwAKPL7eUfQAwBIizC6e6JA4BNM1ruBCHtSws+QsLQEPUVxb+eS7Ap8\nisoLW5pvskYGe7R/oE+S1NbeqYVLVsS8IiA+QULtsLZtSen+DIL9qBMATAq7u0fS5P1NEu7HkqJW\nN9B3/mmH+g/mJEkdC1rV1doS1bKMmxH3AhCcn26etAU9jfL68/sJ0Wx4ClBL57K2KX+lxchgj/p2\nntHo8EaNDm9U384zGhnsiXtZQCyCdPMQ9CCtqBNAtjVag7zWOa91M+jOApMPtVHZ06+9oeaht7Tp\n8Jg2HR5T89Bb2r/gAi2+7dqaAZGtCHsSrGPeW8znKdPIerMc+JQqD3+SGgDtH+jTxPhaSY4kRxPj\nayef3gJZcWjRUiu3bUkEPYgfdQJAWIGPVwQ+dntxz4DuPT5eqBLSvcfH9WJv/+SvF0OfSn/ZKPA2\nLsdxbpO0UdJMSd9yXfevAq8KdbFtqzrT27n8snFLl1eVAh9u1OAXdSJ8QS8eCXoAxIk6gaTzup3L\nBOb42MnG+UCBwh7HcWZK2izp05JGJL3kOM5213X3mlgcpvP7IWJL0FP+mz3uFDSs07mKkhz4lLM9\nAGpr79RYrrvw1FZqau5WW3tnzKsCdSJcJobNM4gZWUGdsBN1AlELa1hzFPN7ipjjE44blrZr64Gc\n7j0+LknaOqdZN3R1BHrNOE8LC9rZs1TSoOu6+yXJcZx/kfQZSXw4GxYkKY4z6Kn3G7j0100GP2F0\n9xD4TFetUMZxg5cfstmj/QMbJDF40yLUiRBEHfJIBD1IPuqEtagTyBwTgY9El49pt1xzmZ52HD1Y\n2Lp1Q1eHbrl6SWjvF3YQFDTsWShpuOSfD0jqCviaKBNFN49kNujx85uz+D1Rd/s0chR7kMBHMr/v\n11ZxhUALl6zgwt0+1AmDTIQ8EkEPsos6YSXqBCIXd3ePZDbwkejyMeWWq5eEGvB4ZSIIChr2ZOPO\nNSZRdfNI5j4cTCSQQ0+8aiTwaaS7p5HAJ4g0d/l4YVMnECKT3d/wBpn8fGI+DwDLUCeQWaYCH4ku\nnyyZcq/8k11Vvy5o2DMiaVHJPy9SPo2f4juP/t+Tf//x6z6pj//uJwO+bfplNegpfa2oAx+v/Hb3\nFGU98KkkKyHQ6Eivfj3SG/cyouapTvy3bf9z8u9XdrZrZWd7+CuzXBgBNEEPYDfqhKQqdWLvnn+Y\n/PsPLexSy0KafxCtMLp7TKPLJ/2eHzqgnqERT1/ruK7/m07HcWZJ2ifpFkkHJe2R9MXSgWqO47jb\nfzrh+z2yJugHQxxBT5iDpUwEPo2EPY3cXAUJfKTsbOkKSxpuKh975HK5rlv/qiHBvNaJD575Tkwr\ntE/cIY9E0APYgjox+TXunff/IqYVIs0a2cpV5CXwkRq7rzPV3VOO0Cf95j24uWqdCNTZ47ruKcdx\nHpD0pPJHJW5hcr4/JtLftAU9xdcPGviEtZ2LDp941SrO3HTaw2udqPTnLqwLHxuFuY2UoAeAzbif\nAMxu5ypFp0+2Bd3GJdd1fyzpxwbWkllJ7OaRwg96siBrg5ujkpVtYUnht05UC0DSEgJFMSeMoAdA\nEnA/gbg0OqhZCm87V1iBj0Tok1WBwx74RzeP9/dLa3dPEV0+0aAbKB3q/fm0NQyKItwpRdADAEC8\nbAp8JEKfrCHsiYGpgV1ZCHpK3zfqI9m9Mhn4SHT5xIVuoPTwEqqEeSEVdahTzs/nEUEPACCrwuzu\n8SPswEci9MkKwp4ImZzKnqWgx5Qwj2I3FfhIdPnYhm6gdIo7kAkLQQ8AAHbxczpXFIGPNPUgG4Kf\n9CHsiQhBT3BRd/c0GviYRJdPMhAEwSYEPQAA+BN2d0+cx7F7RbdP+hD2hMz0H+qsBj2mNNLd0yiT\n3T1FhD7JxbYwRImgBwCAdImqu6cc3T7p4bhuuDeRjuO42386Eep72MhkyPP844/r1e9+V83jR7T8\n9pu1etUyT9+X1qAnaHdPo2FPo909pgOfIgKf9PnzP5wt13XD2fCdII7juEODg3EvI7H6xy5Vz1M7\ntOOx5yRJa+5cqRWr19T8HoIeIBkee+Ry6oTydeLO+38R9zISbWSwR/sH+iRJbe2dWrhkRcwrslOj\n3T2SGprd4+ce0aaDJwh/7DPvwc1V6wSdPYaZ7uR5/vHHderP/kx/9957kqSt+36pp+Ro9aqumt+X\n1qDHhDC7e6RwOnwkunwATFX8nOl5aoe++fCv9P6RhyVJg3u3yXF2aPmnKwc+BD0AkC0jgz3q23lG\nE+MbJUljuW5JPQQ+CRFXh08ldP0ky4y4F5AGHfPemvzLtFe/+12tfe89OZIcSfcePaZdP/pJze9J\ne9AT9dr8fLiGuSf3E1c5oU3/B5AMpYHyjsee0/tH7pEKleL9I/foye8/V/H7CHoAIHv2D/RpYnyt\ninViYnztZJcPpvJT8xqprX4fCNt4sMTs62+c8hfsQ2dPAGEP2bp4eI+ax4809D1pD3pMCbu7Jwql\ngQ/dPkB2+L1QJOgBACB+foc129ThU0mleyu6f+JFZ48PYXXxlCr+QV5++83aesF5ciW5krZecJ6W\n3/6pit+TpaAn69095ej2AbKhUtCz5s6VOn/uNqlQKc6fu023fnbllK8h6AGA7Gpr71RTc7eKdaKp\nuVtt7Z1xLytVonrwamOHTy3l3T9Jf9ieNHT2eBTljXtpsLB61TI9JUdfLWzdWn77pyrO68lS0GNK\no909fo5iD2t+TzV0+wDpVe2zZMXqNXKcHXry+w9Jkm797Mop83oIegAg2/KzeXq0f2CDJAY01+Pn\nGPZGBTmK3fYOn3roAIoOYU8NUQY8RZX+4K5e1VV3IHNQSQx6hp54NfDJXFGIOvApYqAzkB71PkOW\nf3pNxYHM/PkHAEj5wIeAJ1yv7HUj67RPeuBTjgAoHIQ9JeIId0r5/QMb9A9CEoMeU6Lo7pHiC3yk\n6cdBcvMHJEuUM3okunoAALC9u0dKX+BTrto9GiGQd5GEPdV+E8d181sUd7hTiqDHn6R099iErV5A\nMgSpkQQ9AABEr9HuHgKfxhECeRdrZ0+jv7EbvfC1KcyphaAnXlno7qmGrh/ATgQ9AADAiywGPpWw\nFWy6RG3jSkp40wiCnmyxMfApRfgDxI+gBwCA+PndyhV1d49E4FNNrQf6WQiCEhX2pI3JoOfp197Q\ni3sGJEk3LG3XLddcVvX70xb0xLGVy293j2R/4FOK8AeIVphBT3/vDr2883lJ0nWrblJHV36gM0EP\nAECSRgZ7tH+gTxIndiVR8d6E0MebLGwHI+yJiemgZ+x7O/XXx8clSVsP5PS04+iWq5dM+9q0BT2m\nNLqVK6gkBT6lKj2lIAACzAg76PnB1pxOHHtYknTwzW2Ss0MTZy73/Z4AgPQYGexR384zmhjfKEka\ny3VL6iHwiYiJ7p4iunyCSVMINCPuBWSR6a1bL+4Z0L3Hx+VIciTde3xcL/b2+18gPAn6IZqWbYmf\nuMqZ9heAxoS9devlnc/rxLF7pEKlOHHsHu18bIfv9wQApMv+gT5NjK9VsU5MjK+d7PLJMr/dr34e\nhpp8EOx3BwKqm339jRX/shmdPRGLa0aPlO6uHhNbuaLu7pGS2+FTT7XAhy4gYLo0fgYAAIB40eET\nDZs7gejsSYEblrZr65xmuZJcSVvnNOuGro4pX5PmoCdOfIA2hi4gYKqgQY/XAPW6VTfpnPO2SYVK\n0dTcrbb2zkDvDQBIj7b2TjU1d4s6MV1Su3skOnziVK0TKMrmAjp7IhRWV88t11ympx1HDxa2bt3Q\n1TFlXg9Bj93S2t3jFV1AyKqogh5J+WHMzg69/MxDOvrecQZvAgCmyNeEHu0f2CCJAc1pwuBm+0TV\nDeS4brg3VI7juEODg6G+RxJwxHo0TJzK5SdtNZGaZznwaUSaQqA//8PZcl038+1NWawTUQY9pTh5\nC0iWxx65nDqhfJ248/5fxL0MZJifI9iL/HSyhzXbk8AnmWplAvMe3Fy1TtDZEwGCHniR9Q4fr+gE\nQtIR9AAAkCx9u/cHCnwaZfJ0rlJ0+SRT7WaEzVV/hbAnZHEOZEZ0Lh7eY6S7h8DHP0IgJEFcQQ8A\nAEARw5uzgQHNIYrzD1BWu3pM/NxxB21pOZLdFpWGQjMYGnGIM8ilqwcAgHj4fVAT9nXDoUVLGeCc\ncnT2hCRI0MP2rWQy1d0j0eETBTqBECUTf57ZvgUAAExja1d60dkTAoIemECHTzzoBIJpBD0AACRf\nHDU1yoe/dPmkD509hsUZ9MCcky+94OtULpPdPRIdPjapFfjQDYRq4gx6AACAHV7Z6ybi4SFdPulC\n2GMJE0EPXT15Q0+8auQIdlsQ+NiPLWGoJO6gh64eAACSL6yTuWoh9EkHwh6DGMiMsBD4JBMhUHbF\n/eeVoAcAAPOiPoI9bqU7Fgh+koeZPYYwpyd9/P5/CeuDkBk+6cEcoHQzFfQwpwcAgPQI8rAv7odI\nEqd3JRGdPQYwpwdRocMHsFvcQQ8AAECY6PZJDjp7Aoo76KGrp7K4/7uE+cHXMe8tunwAC9kQ9NDV\nAwCAvZLe3VOObh+7EfYEEHeSGXegkQU2d14R+AD2sOECjKAHAIDwUW+nK4Y+BD92IeyJCXN60i+K\nMJDAB4ifyaCHOT0AAKAaGx4u1VMa/BD+xIuZPT7FvX0LKGKOD5AOzOkBAABpw4yf+NDZ40Pcv0np\n6kE5OnyAeDCnBwAANCLow50kP+Sl6ydahD0NChr0sH0rOqb+WwX5fxZlMMjgZiBaNlxsEfQAAICk\nKg9/CIDMIuyJENu3EAUCHyB8NszpAQAA8Yj7YYsND5zCQvhjDjN7GhD3nJ44unp6c6PqP5iTJHUs\naFVXa0vka0DjioFPmgsBEBdbgp64LzQlaWSwR/sH+iRJbe2dWrhkRcwrAgDYhDpR2St7XX3iKifu\nZSRCpcAn7rEqSUHY41Hcv6HiCnqaXh/SplOnJUlbjhxVr0Tg06CLh/fElkozvBkwi6DnrJHBHvXt\nPKOJ8Y2SpLFct6QeLuQBAJKoE2HrH7s0sx39BEDeEPZ4EOacnqdfe0Mv7hmQJN2wtF23XHNZoPcy\nqf9gTptOnVYxc1536rTWH8xlMuw5+dILmn39jXEvwxe6fAAz4voz1N+7Qy/vfF6SdN2qmzThXh7L\nOsrtH+grXMDnq8TE+FrtH9jARTwARMzW7hnqBKJU7eF6lkMgwp4GPbVzt3b96BlJ0vLbb9bqVctq\nfn29oGfsezv118fHJUlbD+T0tOPolquXTPk6hjL7N/TEq1p827VxL8MKhD5ANHqe2qEdjz0nSVpz\n50qtWL1m2td47erp792hH2zN6cSxhyVJB9/cpo+vyHGhDAAJZjKcoXsm27Lc3eNVlruAGNBcR+lv\nhKd27tav/3aL/vKnP9df/vTn+vXfbtFTO3t9v/aLewZ07/FxOcrn3fceH9eLvf1TvibOoKdjQau2\nzJopV5IracusmepY0BrbepLMpg8UCgLQOK8hac9TO/TNh3+lvt6H1df7sL758K+06//bMeVrGtm+\n9fLO53Xi2D1SoVKcOHbP5A1C3NraO9XU3C0VqkRTc7fa2jvjXhYAWK0YzowOb9To8Eb17TyjkcEe\n36+X755Zq2KdyHfPUCeiEHRLNQc0xCcrp4DR2VND+Q36rh89o788emxyW9O9R4/pqz/6iVav6qr4\n/Uk/Zr2rtUW9ktYzoDl16PIBvGvkz8mOx57T+0ceVrFl/f0j9+jJ7z+k5Z+e3t2TdPmnxj3aP7BB\nkl1bBwDAVlna2kSdiAbdPWakcRsYYU8VYc7pKbphabu2Hsjp3uI2rjnNuqGrI9D7mtbV2kLAk2KE\nPkBtpv9sNPoU77pVN+ngm9sK3T2y7qnowiUruHAHgBi1tXdqLNdd6O6hTgCmJTkEIuxpwPLbb9bW\nfb/UvUePSZK2XnCelt/+Kd+vd8s1l+lpx9GDha1bN3R1TM7riburB9MFHdIc56lc9RD6ANP5+fOw\n5s6VGty7Te8fuUeSdP7cbbr1sysl+WvX7uhaIzk7tPMxnooCQBqYDmfongHikYRZQIQ9FVT7n7R6\n1TI9JUdf/dFPJEnLb/9UxS1cjWzfuuXqJQxkhjVKW0AJfoDGrVi9Ro6zQ09+/yFJ0q2fXRl4C9fE\nmcu1/A47TuACAAQTRjhD9wzYymUH27qACHvK1PsfsXpVV9UZPVLwOT2ALej2QZYF+X2//NNrpgU8\nDGEEABQRzqDolb2uPnGVU/8LkWhxhUCcxlXChrYrunrMs+m/qQ2/xxrVMe+tyb+ALIh7Tk+poCd9\nAACA8NhUp3lAmzxhnwpGZ49BST99C6iHbV5IO5t+X9t0AQkAAIDwmewCIuwpiOL0LSBNCH6A+ti+\nBQAAgKD8dP2wjUt2bK2hqycZCPUqK93qxXYvJBXbtwAAQJLxABalCHsMIABAI2wIF8NG8IOkseni\niKAHAIDsoAsYYcn8Ni4btm/F1dXTmxtV/8GcJKljQau6WltiWQfSrVLgY9ONNRDG78e0XLiNDPZo\n/0CfJDPHAwMA0oU6YR+OYUdRpsMeGzos4gx6ml4f0qZTpyVJW44cVa9E4INIlBcgwh+kSVq2b40M\n9qhv5xlNjG+UJI3luiX1cCEPAJBEnSjq271fncva4l4GMA3buAJI8vat/oM5rTt1Wo4kR9K6U6cn\nu3zSiJlIdmPmD+JiU9BoU9AjSfsH+jQxvlYqVIqJ8bWTT28BAKBOAHbLbGdPlrZvsV3LPhcP7/E1\nUT0r2PqFKLB96yza8AEAtVAnkoWtXJAyGvakbftWrTCn2natjgWt2nLkqNYV//2smepY0GpsTWl2\n8qUXNPv6G+NeRuYQAMEk24KesLt6al2kV2vDb2vv1Fiuu/DUVmpq7lZbe2eo6wQAxIM6Ea9X9rr6\nxFVO3MtAymQy7AnKpu1b9Wbv9B/MaVNhu5aU3661/mBOazs71CtpPR0/SDACIKC+ejMV8m34G6VC\npci34W/Q8jsekNSj/QMbJPEkFwDSijoBpFPmwp60bd+qFuZ4CW66WlsIeJA6BECoJ2tdPdUu0r1c\nkC9csoILdwBIOepEOrGVC5ka0Jy27VtedCxo1ZZZM+VKcsV2LZvY8PsxK8oHQDMIOrtPK17GAAAg\nAElEQVSyFvR40dbeqabmbqlQKWjDBwCUok4AyZS5zp4gbNq+VVRv9k5XawvbtYAq6AJCFtSbqZB/\nIksbPgBkFXUCSKfMhD1p275V5CXMYbsW4F21jh9CoOTLalePl4t02vABILuoE0A6ZSLssWG7TJjb\nt6qFORy5DphDF1CyZTXoKap2kc5RugAAiToRVN/u/epc1hb3MqZhbk+2ZSLsCcrG7Vv11DulK4uG\nnnhVi2+7Nu5lIEUIgJBk9U5fAQBkG3UiWhy/DtNSP6A5rdu36uk/mNO6wildjvKndBW7fBCcqQDQ\nhq4zmMUwaPtkvaunmvzpK2ulQqXIn77SF/eyAACWoE4AyZbqzp603kizPQtIHgKfeGQ16KHtHgBQ\nC3UiO9jKlV2p7+wJwsaunsntWYfHtOnwmJpeH1JvbnTa13HkOgBkU7HtfnR4o0aHN6pv5xmNDPZM\n+zqO0gWAbKJOANmQ2rDHhq6eMLZved2e1dXaookrF2v9/HlaP3+eJq5cTAcQgEzJaleP17b7hUtW\nqHPVDLUs2qCWRRvUuWoGT3YBIAOoE0A2pHIbl4mgJ4lDmctx5DqArLIt6LEVR+kCAGqhTgDJldrO\nniBs3L5VxPas9LGhCw1AuKIcykzbPQCgFupE9nBabDalrrPHhhvnME/f6mptUa+k9QxoBoCKbOvq\nifr0rfwT2B7tH9ggicGbAICpqBP24vh1mJSqsCft27c4hQsAasvyk6vyk1WW3/FAzCsCANiEOgFk\nS6rCnqBs3r41eQrXqdOSpC1HjqpXIvABgJAloauneLLKxPhGSdJYrltSD09qAQCSqBNR6Nu9X53L\n2uJeBjApNWFPWrZvVeve6T+Y06bCKVxS/hSu9QdzsYY9We80OvnSC5p9/Y1xLwNAQVa2b5U/mV24\nZEXhZJWNUqFK5E9W2RD7RXyltQIAwkWdQCX9Y5eqY95bcS8DEQoU9jiO8zeS/kDSSUlDku51Xfc9\nEwtrRFq2byWpeyeutWY9YAKSJMoakZXtW9WezNoorqfI3DgAyWHLvUSaUCe8vS91AlkQ9DSuHZI6\nXNe9RtIvJD0UfEnRs2X7Vv/BnNYVuncc5bt3SoON8lO4Zp87R919/eru61dvbjTw+5taa1gmA6bD\nY9p0eExNrw81/HOHOTwbwDSJrhE2dvXkn8yulQqfvvkns30VT1aZe9Ec7dq+Wbu2b9bIYPQX+tXW\nGqbijcPo8EaNDm9U384zsfzsADxLdJ2wEXWiNuoEsiRQZ4/ruk+V/GOvpLuCLadxNmzfikL5KVyz\nz52j9nfygYuU76z557GjOvnBcUnTu17S0BFj41Y2Uy4e3qNDi5bGvQzAqKhqRFa2b9VSfrLK3Ivm\n6O19lxUuoqc+2a32NDMNTzpt3aYAoDIb7iWygjqRR51Alpic2bNW0v8w+HqRsKWrRyp07xw5ejbA\nmTVTHQtaJ3+9q7VlMtjo7uuf7KyRpI+eOq0TI4d0f+H+pHRbVRhbruqtFQDKhFIjsrJ9q6itvVNj\nue7Ji/Om5m61tXdKyl/IFy9Wd23fXPK0NH8x+/pLX9CJY2sqtsuH0Upfa60AUEEi7yVsQ50AUFQ3\n7HEc5ylJH6nwS19zXfcHha/5uqSTrut+p9Jr/P3f//3k33d1dWnZsmX+VlvGhq4ek9uCyrt3GunA\neVbSN1xV7HoJoyMmyFr9ImBC0u3evVu9vb1xL8MoEzVCCq9O+GFzV0/5k9lGnqyeODYx7cK++DQz\njCedQdbqFzcOSLrRkV79eoQ6UcnePf8w+fcfWtilloVdppeaCtSJ2rJeJxjSnHyN3E/UDXtc111d\n69cdx7lH0u9LuqXa1/zJn/yJp8U0Ii1DmcuVdu/UUh58jIS9sAq8rtXk+0UdMAEmLVu2bEqI8Q+b\nNsW4GjNM1AjJX52wbftWVEqfzFZT6WJ2zvkXaGI8ihWe5WWtpt8v6hsHwKSWshBj30ubY1yNGabq\nxFVL/5PBVaUbdaL2+1EnkGSN3E8EPY3rNkn/VdInXdc9EeS1ombT9i0/yoOPD507R1tKZ/iUdL2k\nqSMm6oAJgH9h1ggbt2/FMaunmkoXs9Iq9e2s/DQzTU86o75xAOBfku8lko46YW+deGWvq09c5dT/\nQqCOoDN7NkmaLekpx3Ek6UXXdb8SeFV1pG37ll/lwUfvvAsqdr3QEQMgJrHUCL9s3r7lR+WL2cpP\nM3nSCSAmiaoTaUOdANIt6Glcl5laiFdp3b5lQq2uFzpiAEQtrBphY1dPUtR6mmn7k04A6RPHvQRq\no04A6WHyNK5QPP/443r1u9+VJF37+c/r33/8Q4FeL+nbtwAgy8qDnp6ndmjHY89JktbcuVIrVq/x\n9bpp6+oBAOSl4bhwwCSGNGeH1WHP848/rlN/9mf6u/fekyRt/Vmfnvo//kirVzF936ve3Kj6Q96+\nFcV72OrkSy9o9vU3Gnmti4f36NCipUZeC8iCnqd26JsP/0rvH3lYkjS4d5scZ4eWf7qxwCfrQU8U\nN0LcbAGIQxjHhWcRdcK7vt371bmsLe5lAJIsD3te/e539XfvvTd5ZPi9R4/pqz/6ie+wJ2tdPb25\nUTW9PqRNxcHMR46qVzIaxvh5jyyHQwD8K+/q2fHYc4WgJ18l3j9yj578/kMNhz1ZFsWNkJ/3SMtF\nP4B4hXFceNbYWCeoEYA3M+JeQJIkKeiRpP6D+dO5HOVL3LpTpydDlrjeYzIcOjymTYfH1PT6kHpz\no0bXBCB9wprTk/WunvyN0Fqp8CmevxHqi/U9ihf9o8MbNTq8UX07z2hksMfomgAA3thWJ6gRgHdW\nhz3Xfv7z6r7wQrmSXElbLzhPy2//lK/XSvpQ5t7cqLr7+tXd15/ocCSKAApANqy5c6XOn7tNKlSJ\n8+du062fXen5+4MEPTYaGezRru2btWv75kRf+EZxYwEgG9raO9XU3K1inUjyceEmpKFOUCMA76ze\nxnXT7/++nnccffXb/68kafntn/K1hSvp27f8bsfqWNCqLUeOal3x+2bNVMeCVqNri+I9AGRbta6e\nFavXyHF26MnvPyRJuvWzKyPbwmVbV4/fNvu29k6N5boLF84K5UYoivcAgEo4Lvws6gSQPVaHPZL0\n73/nt6S/eSjuZRjV6Mya/oM5bSp0w0j5bpj1B3N1v6+rtUW9ktaHOB+n0fewIRwaeuJVLb7t2kjf\nE4A/9bZvLf/0Gl8Bj+3btxqdR+B3LkUUN0KNvgcX/QBMSuNx4X5m1qSlTlAjzOBErmywOuy5eHhP\n4NcIs6vHz6DhsIcmV1pT2AOQG3mPKAIoALCFnwvysIdhVlpT2DdCjbwHT+IBZEmjdSKqgcm21glq\nBOCd1WFPUGEHPX5CGz9dOl67YUwHSWGdmhUkgOIkLyA7kj6U2e8FuZ+nr16fdJq+SQjrRJQgNxac\n0gIgKfx8Jvvt0ElTnQgaPiWhTryy19UnrnLqfyFQg7Vhj4munjD53VpV9KSkZ5UfF5cbP1nza712\nwwRdU6kojm1Pw5oAJEuUQ5mDH/l7tlKcOPZOza/0+qTT5DHEUTxdTsOaAKCaYJ/J3muERJ2weU1A\nWKw8jcv27VtBdCxo1YMzHB2U9BeSviHpUydO1D1hq6u1RWs7O7S2syOScMPGU7NsXJNptoecQFTC\n6uoJIqqhzG3tnZox60+lkkrxwZGb656csnDJCi2/4wEtv+OBSC5abTwRxcY1AYBJfmuERJ2wdU1A\nWKwMe2xQL+jpWNCqLbNmTh4L73XQcFdri96Zc47ukSZDi/tOnzESWvhdEwDYJOnbt4r8Hvm7cMkK\nnX/hr6SSSnH61H1GLkY5hhgA7OHnMznMGuF3TQDsZN02Llu6euoJMmj4wuZm6dhxq9ZUzoZTs5Kw\nJgDJEOX2raIgQySbz50n/cauNZWz8UQUG9cEANX4/UwOq0YEWVMlNn4m27gmICyO64Z7Aew4jjs0\nOOjpa20JesLYvlWqOHumNLSYuHKxdbNnbByGbGpNJo9en339jcZeS5IOLVpq9PVgr8VLlsh13cxP\n3yutE2np6gnq7EyBsxejnatmWDdTwMYhlzauCfDrsUcup04oXyfuvP8XcS/DGkmpEZKdn8lhr6lz\nWZuR1wl7QDNHr6dDrfsJwp4KTIY91cIJk0GKjaGM7UyGPZLZwIewJzsIe/KKdSKLQU+tC06TF6M2\nXmwDqI+wJy/LYU+1z2/Tn+vUCXOSEvZIBD5pUOt+wpptXGkIeoqhy3vj4xovTLD/1IkT2nT6jKSp\np0cFOX68/D3TdkIV4RWAtCpeTI9/MKaTJ97R+Ad3yHUrnwgS9GjZ0vdM28kj3JQASCuvdcJUjSi+\nZ5rqBDUCyEvNgGYbgp6m14e06fCY/unYcf3esQ90zrEPdN/pM6GeHpW2E6pK/ztuOjympteH6p5U\nBiD5stDVU7yYHh3eqCO/2aYTxz4j112ssE8ESdvJI6X/HUeHN6pv5xlPp9AAgO2oE8HZUCPi2P4N\nVGJF2JOG46bLQ5d7JJkfwRyv3tyouvv61d3XH1oAk7bwCkB84hjKXEv5xbT0x5KejXdRho0M9mjX\n9s3atX1zaBfXabopAYBS1IngqBHAWbFv40rD9q1qLpK0TfngRzJ7elRxq1Nu/KQenTlD9xW3ioV0\nQlXY28WKP8/Ikff1pKTbjLwqAPgT3VO5g8ofb2v2RJDSFva5F82J5OSRsLcBFH+msdywRKUAkBnU\niUZeP18jviZplaRbjbwukFSxhz02MBH0lB8Lvk3S5yQ9PcPRl+ecowubm43NnykPXh6c4ejL580x\n+h7l+g/mtKnQcSPlO27WH8yF8vM8KukJ5T+eOV4dgB82bd8qKj/uNV8prpKcuzV3vqMrfndVaDN6\nLrniFzrybvBjdGvJP03dKBUqRf5p6oZQfqbSSsGxuQDSgjrh39mf6d8K/2abpCfU1DxCjUBmxRr2\n2NLVY0JXa4t6Ja0vDGg+IUcfbp6tjgWt+qLh8KX/YE5/cOq0vl7451vOuPphc7PWdnZM+9okDDsu\nD5Luk/S5WbP0w7nnW7tmAPaybftWUf5itkf7BzZo/IMxue4JnXPeR9TWfrPRi+qzF9M7JD2riXFX\nuQP7dcsX/9u0r03KEMvyGwTpPjU136V5rT+2et0A0AjqhH/T68Q9amq+S52r/jdr1wyELbawx5ag\nx+T2LVMnbNWTGz+pQ5L+ovDP2yT9avzktK8zufWqvHMp7I6bhXPPrxhemTL0xKvGj1835eLhPRy/\nDsQk7O1bJk9Pqe1JSe+oWCnef/ebGhmc2ipvup2+/Il02B0381oXafkdD4T2+gAQB+qEOfNaFyU6\n6HllrxvJ8etILysGNMOb4oDk48dP6GJpyjDoczT9SbbpYcfPNs/W52bN0ufPO1cTVy42Fmx1LGjV\nllkz5Sq/I5mtWwD8snH7VpRGBns0/sGYpEckfUTFSuG6X5k2oDKMIZZzzn9OTc136YL5X1DnqhnG\nLrLb2jvV1NwtFSoFW7cAwJ+46kSxQ2jO+c/pgvlfUMuiDdQJC4R1GirsEEtnTxq7esJW3qWzTfk8\nvjh27MLm5tDf+5+KXT1yNWHw9Uu3wEn2bjcDAJudfQK7rfBvtmlqpYjyvbuNvn7p1gbJ7q0EAGCr\nuOpEeYdQU3O3rrzeXNAjUSeASjI7oDlJQY80fa7NPcrPmV+j6p0wxa1XHz11Ws9KGpH0oXPnBH5v\nk8OZi6LaAgcgvbLe1VNpXkGxUlR6wjm1nf5JyfmOxj9wprXx+3lvk0M3i6Lb2gAA6RRXnYiiRkjU\nCaBc5GGPLV09cas0OLnRYcqvz5ql9TWGGHe1tuifx47qxMghfaNwD7TlnZx6511AsAIgVWwdyhxE\npaGYjQ7KbGrep3mtGyp+bfEp6OsvfUHvv7tSrvttHfmN1LfT7FG4AADzqtUD6gSAokjDHluCniBd\nPSZOt6o0OPmfx46q/Z1c1WHKlQYkr7nyY3Xf/+QHx3W/q0BdOVEPZwaAKJns6jF1akmloZiHD23R\n2/suqzoos9Lgy3qnkCxcskL7B/p09PBXFOSJa9RDNwEgqUzUiWqDkyXVHKgcV52gRgDxSP02rqdf\ne0Mv7hmQJN2wtF23XHOZ79cydbpVpW1Rn3tnVP9Pja1Scc+1ebZ5tn6kCTU1z9bNv/1ROoMAWCPo\n9q0wAxq/Tz4rtby/ve8uTYw/rGoX23HPK5hz/nOSfqRzzmvSldffxhNfAKlhW52oti0q//fVt0vF\nVScWLllReGBxlyTpkisu18Il60J/XyDrIgt74ujqefq1NzT2vZ366+PjkqStB3L6zmtv+g4qgs6u\nKXYFjRx539f7+5lrE7QrJ+zhzGlx8qUXNPv6G+NeBpA5QbdvhR3QNNohU7yhGMsNN/z+kr95BUGf\nuIY9nBkA4mRjnfBbI6T46kS+M/VhSdLb+7o1/2K2gQFhi+To9bi2b724Z0D3Hh+fPHr83uPjgY4e\nD2KyK+jwmO47dUqPSlOOGv/tj7SEcvx4V2uLJq5crPXz52n9/HkNH5lu+vh2ALBF3+79oRw/7lfx\nhmJ0eKMmxv+jVFIpmpq7dckVl4dyrOzCJSvUuWqGWhZt8HUUrk3/DQHANJs+484GT/9R+ZO0ptaD\nsI4fp04AyZT6bVwmBemSKe0Kuk3SE5I+N2uWFhYGLH+ptUW98y4IZZsWJ10BSCPbTt8K+uRz6hPf\nfKVoar5L81oXFVrt12n+xeG033OCCQCEz2ydeFLS19TUvK9s7g51AkBeJJ09QfkdynzD0nZtndNs\nrFsmaJdMqVslLZx7vtZ2dlgdxHQsaA2l4wgAbGDyKWjQJ5/T3ap5rYu0/I4HrL7ADutJMgDYwN46\ncaukb2he6yKra4REnQDikurOnluuuUxPO47WP75bkpluGb9dMvW6gkwNfzYt7sHQAFCJqa4e08Mq\ngzz5rPfE1+TcCJPiHgwNAGGiTgRHnbBb/9il6pj3VtzLQAisD3uCHrV+y9VL1HbwqKHV+FcvNAk6\n/DlMbAMDYJOgQ5nL2dKaXu9i2MRgz7DY8t8QAMJgy2ccdSI5+nbvV+eytriXgYyzOuwJGvRI0tAT\nrxpYiRlZCU2Kp45JdAL5dfHwHh1atDTuZQCpE8asHpOycjFs6hhjAMga6gQArxIxsycL0jIbp/TU\nsU2Hx9T0+pB6c6NxLwtAStg2lDlKaZl5UHrq2OjwRvXtPKORwZ64lwUAiUedAFDK2s6eMLp6bO44\nSctsHJu3owFINtPbtyqx+UliWmYe2LzNAADqoU6Ejzpx1it7XX3iKqf+FwIVWBn2hBX02DgAuVRW\ntnkBQNS8dPXYOtiyVFba9wHARtQJAEliZdgThqx2nFTrZgqry6neqWMA4EcUXT1ZfZJY7Sl1WE+v\n650mAwC2ok5QJ4AksS7sSdtQ5jhV62aSFFqXU5K2ow098aoW33Zt3MsAELKkz+oJU7Wn1JJCe3qd\nlm0GAJAF1AkguawLe8KSxY6Tat1MkkLtcmI7GgCTohrKnMUnidWeUuf/Pryn12wzAJBE1AnqBJAk\nVoU9YXb1JKnjxGY2D7kGkD5RbN8q4kmiGTYPLwWAIKgTZlAngGhYE/ZEsX0rax0n1bqZ3hg7qkcP\nj+m+wtc9Kmn2uXOqvk4x4MmNn9SnTpzQptNn8q9n4ZBrACjys30ra08Sqz2lPnxon0aHH5VKKsXc\ni86p+BqlF+1zL5qjt/ddZvXwUgAIgjpBnQCSwpqwB+a7Zqp1M/UfzKlN0tclHZB0jqTRd0bVO++C\nae9ZOvfna8p/nGdtyDWAeES1fStJTD8NrfaUOv8ebSqtFG/v+7XmXzz1grx8lsPogbsl92FlbXgp\nANiCOgE/+scuVce8t+JeBgyzIuzJ2lDmSqFOWEfDV+tmulX5j9hDku6WpFOntOX1oWnvWTr3x5n2\nKt5kZevXyZde0Ozrb4x7GQASrtapJ2EMw6z+lHpqpZgYl/p2Tn3P8lkOchf6WgMt/QDgHXWCOgF4\nYUXYE1RSgp7e3KieefOAVn7wgTYVHlgXQ516R8PXCkwaDVOK27uGTp3WN+S9U+eTkrZJuqfwz16G\nXIcVYgFIt6x29fz8+S365c8XyXWnX6jXO/K31oVwoxfJZ9v2B6WSSlH/Cewn5TjflOt+RZK34aVh\n3ZwAQBpRJ6gTgFcz4l6Aia6eJCiGHouPfaD7XU12yqw7dXoyqKn3vZsOj2nT4TE1vT6k3txo3V+r\npqu1RRNXLtbrs+pnfR0LWrVl1ky5ktZIGpjh6MvnzdH6+fM0ceXiuqFN/8Gc1pV0Bnn5eQFkW5RD\nmW0yMtijoZ8fLFwA5z818xfNfZ6+t2/nGY0Ob9To8Eb17TyjkcGeur9WzcIlK9S5aoaamvfV/Lq2\n9k41NXdLciW5amoe0cc+/rZaFm1Qy6IN6lw1o+7FeP7mZG3DPzMAZA11gjoBNCLWzp4sbd8qdu58\nvcqv1zoavlbXT72OoGqKv77l9aGax9FXmvvzRbpyInHx8B4dWrQ07mUAiZLkrp79A30129trHflb\n62luvSe91RR/vW9n9WOGK89y+KOGf3YAQH3UCQCNSMU2riT5pKRvqzAnR2cDljiOhq/0npLU3dc/\nZQ1BTjGrFWIBQLmsbt86a2qVcJxvTl40x3Hkb6X3lKRd2zdPWUOQddS6OQEAlLO7Tsy96BztHzih\n/QN9U2oEdQKIXmxhT5a6eqR86PHoe0d03+kzelLSH0p6d8YMXfGRVn2pEKRUC1VqBSZBw5TS9wxj\nvk4cIRaAZMrq9q2i/FG2+3X6VJukr0kaVvO5o5K+MPk11S6Ya10IB71ILn3PMOYmxHFzAgBJZHud\nOFsj8q9jckA0dQJoXCxhT9aCnqIh19V9ksYlfUnSrWfOaMs7uYpHnpeqFZiYDFP8bgmrJ0hnEAB4\nkY6uHsnVkKRXVKwUJ47dOu1kk0pqXQibvEj22+pfT9CnvgCQFTbXibBqRHGNSasTfbv3q3NZW9zL\nQIaxjSsi/Qdz2nTG1dcl/YW8n4BVVCsw8RKmZOX4cwDJlPWuHil/kXzm1EaprFI0Mjuh2td4uUjm\nWFsAsFucdYIaASRP5KdxZbWrJ05eT+zqWNCqR2fOKMzKlx6dOYP5OgCsl5aunjh5PYmlrb1TM2c9\nquKpKjNnPcrcBABIuUZqROnJW47zTc296JzI15s2PBCDX7Efvd6oOIKe3tyouvv61d3XX/dY82qK\nR5ivlLRNmgxUohhY3Mjx50Ouq68pvwt4yOWDBYDdbAl6RgZ7tGv7Zu3avrnucbXVnL1InlopohhE\n2cixtvktBPlKkf97AEA9Sa4TXmvEwiUrdMkVv5CcuyV9Ta67WG/vu9z3zwsgmEi3cZno6omaqaHF\nxdk6PzyY06/GT+oncnVhc7NVW6qKW82KW8zcM66RmT0AkGamhhafnZnwY5049o4cZ6eaz51nVbv8\n2S0E+Upx5pRrbB4DAKRVlurEkXdPSO63dXaLGXUCiEtkYU9St2+ZHFoc12wdjj8HkEa2dPWYHEgZ\n12wdjrUFgPBEWSeoEQCKGNAcES8hTr0uIr9BkNcTuwiFACSFLUGPSV4u0Os9HfZ7ke/1JBYu+AEg\nPvU+4710EPmpE42c1kWdSK7+sUvVMe+tuJcBgyIJe5La1SOZCUC8bgWr1UUUdDuZl64ik8e4A0BW\nmLiw9driX+vpcNBtAl66ikwe4w4AWRFVnajXQRSkTng9+pw6AdgjEZ09cZ6+ZSIAMbEVzOR2slq8\nhEJpMvTEq1p827VxLwNAA2zr6jFxYWuixd/kNoFavF7wAwDyqBMA4pCIsCdMXrZGNRqAlL+mV2yj\nAgD7eGl5b/TCtvw1vaI9HgDsY0udoEYAKGV92BNmV4+pk7bqveZv5l6guyUtlPRJSQeqhDi1uoiS\nEgSFMWAaAIqi7uoxdYJKvdec/+F380fVuvlK0dQ8UvECvdbT4aRc5IcxPBQA4mJTnajXQUSdALLF\n+rAnTGFsjSp/zY+eOq3l747p/sI/P+JIv/xIq75U5T2qdRH53U4WZfgSRniWNCdfekGzr78x7mUA\nqRTH9q0wWt6nv+ZC5Ya7JPcrkiTH+aYuueJtLVzyRxW/v9rTYb/bBKK8qA7jpggA4mRbnajVQUSd\nALLF6rAnzlk9pjwr6RuuJsOf+11p/QfHfb2Wn+1kUYYvUc0VypKLh/fo0KKlcS8DQKielet+Q8VK\n4bpf0ZF3N/h6JT/bBKK8qI5qXgQApAt1gjoBNG5G3AuoJoqgp2NBq7bMmilXkiszW6PKX3PEwDq9\n6M2NqruvX919/erNjUrKhy/rCuGLo3z4UuzyAYAkiWsoc1t7p5qau6XCp7qJlvfy15QTTaUYGezR\nru2btWv7Zo0M9kgqXlSvlQqVIn9R3RfJegAgDagTAGxldWdP2MI4arz8NT907hxteScX6qydah08\nUUvKXCEA8CqMI2TLX3PuRQv09r5wZyhUezIbtaTMiwAAr6gTZlEnAHOsDHui3L4VxlHj5a/ZO+8C\no4FSuWrbp8rDl0ccafa5c4y+d6kwwjMAiPuo9TCOkC1/zfkXm71RKFetLb78otpxvqm5F51j9L1L\nhXFTBABxo06YQ50AzLEy7LGFqeHGYQRKXt/3n8eO6u4Dh/IngbnSOe/k1DvvgtDWE9fPCiCd4g56\n6jE1tDKMGwWv73v40Lc09PP8CS+u+0m9ve8czb84vHkMcf2sABAH6oS/96ROAMFZF/bYMpTZtpOl\nagVPtbZPnfzguL6tswOiXYYmA4ARtp0YUuuGolZb/JF3T0ju2UoxMe4yDBMADKBOAIiTVQOabQl6\nJLuGG08GT4fHtOnwmJpeH5ocwizlA6iJKxfry+fN0edmzdKTzc2xrBMATLK9q8emoZXFG4rR4Y0a\nHd6ovp1nJodrSvmnpJ2rZmjub92jpua7dM55O2JZJwBkCXUCpq5lXtnrGnkdZD6NbmgAABF6SURB\nVItVYQ8q8xo8fXL8pL536pT+9dgHk4FQGCeOAUDYbA96bOP1huL4+ys1Mf5vOnr4XyYv9MM4SQYA\nYBfqBLzoH7s07iXAIGu2cdnU1SMl72SpakOa13Z2hD402dRsIwBIkqSdGFJt+ObyOx5Q2MMwTc2s\nAIAkoU54R50AzLMi7LEt6JHsOlkqaPDkZWiy38DGttlGAJIvKV09Np0YEvSGwsswTL8X4rbNrACA\nqFAnqBNAnKwIe2xly8lSXoKnIIFQkMCmWkeRDf/dACBstpwY4uWGIsiFfpAL8WpPim347wYAYaNO\nUCeAuMQe9tjY1WOjasFTaUfO7I+0av0HxyU11p1DYAPAFknp6rFRtRuK0ietl1wxR0febfwJMxfi\nAJB81AkgW2IPe+BfpY6ciSsXGwtpvGztStpsIwD2Iugxr9KT1s5VM4xdfHtp2U/azAoAyJIw68T4\nB2PatX2zpNrBEXUCCEesp3HR1ROMqePhK53YNfvcOTWPey8qHvu+fv48rZ8/z2jYBAAIxtSxv5VO\nYpl70Tk1j/EtKh7n27Jog1oWbTAaNgEAggmrTsyc9ajef6+1bo2QqBNAWAJ39jiO818k/Y2kD7mu\ne9jr9xH02KPSTKCTJUGSVHtrly2zjfwaeuJVLb7t2riXAaSWlzpBV4/dKs162D9wouQGoXbLvi0z\nKwDYye/9BOxRXidOHHtHRw//i7xu66JOAOYFCnscx1kkabWkt8wsB40wuYWqPLDx0yGEcFw8vEeH\nFi2NexmAL9SJeJlsjS+/EPfz5BcAylEn4hVWndi1fbOOEtsBsQq6jetvJT3Y6DfR1WNGV2uLBj7S\nqs/NmqXPzZqlgY+YOx6+0tYuZvF4c/KlF+JeAmATX3UCZixcskKXXPGGmprvUlPzXbrkijeMPTmt\ntLWLGQsAfKBOxCisOkGNAOLnO+xxHOczkg64rvuzel/79Gtv+H0b1NCbG1X7Ozl979Qpfe/UKbW/\nk6s4V8cPZvEACKqROlFtHz+CGRns0dv7LtPE+L9pYvzf9Pa+y4z9t2bGAoCgqBPxC6tOUCOA+NXc\nxuU4zlOSPlLhl74u6SFJa0q/vNrrjH1vp552HN1y9RK6egzqP5jTH5w6ra8X/nnlqdP6ocEj05M+\niwdA+EzVib6dZyT1cCFoWH7w5u9JhUoxMb5S+wd+bOy/MzMWANRDnbBbmHWCGgHEq2bY47ru6kr/\n3nGc35H025JecxxHkj4q6WXHcZa6rjtt2Mtbx8f1rcdf0JM9/bruogv1uxddaGDpyI2f1CFJf1H4\n53+UtHfsiHpzo4Q0gIV2796t3t7euJdhlKk6MTH+tvpffEJHDr+iDy3sUsvCrlDXnRUnjr0jlVWK\n3xzq18ggN0yAjUZHevXrEeoEdSI61AkgWRq5n/A1oNl13f8l6cPFf3Yc501J11Wbnv/nkj74rQv1\nxUWX+Hk7VNEsV/fo7COQP5Y0fOZM/ph0icAHsMyyZcu0bNmyyX/+h02bYlxNuBqtE9Kf67wLx3TV\n0geiWWBGOM45UlmlOHNqmCfkgKVaykKMfS9tjnE14aJO2IE6ASRLI/cTQQc0F7m1fnHrnGZ9rHmO\nobdC0YXNzdP+naP8MemcpgXAMjXrBIMbw9F87rwK/9YpHIHLaVoArEKdiAF1AuX6xy6NewkwxEjY\n47rux6qn8NL44kvpMglB+YlZ35b0yZjXBACV1KsTDG4MR/lpKFQKALaiTsSDOgGkl6nOnpoIesJR\nPDHry+fN0d3KT75bI45JB5A8XMCHo3gaytzfukdyzlYKnpADSBrqRDioE8nxyt6azW/ANL5m9mC6\n3tzo5NapjgWtkQVcxROzenOj+uHBnH4Y8fsDALwZGeyZbIlva++M7MaleBpK/v1/LOnHkb4/AMAb\n6gQAkwh7DOjNjarp9SFtOnVakrTlyNHIBySHcUx6b25Uz7x5QBPjJ3V+c5Nu/O1FhEgA4MPIYI/6\ndp7RxPhGSdJYrltRD74M4wjcnz+/RW/v+4Uk6ZIrLtfHb1pn9PUBICuoE+nVt3u/Ope1xb0MZBBh\njwH9B3PadOr05Az7dadOa/3BnNFgJOrOod7cqH458IZ+70z+xC+dOqVH9w4aCbHi6oICgLjsH+gr\nXMDnK0V+8OUGYxfVcTwN/vnzWzT0szZJD0uShn72qKRv6eM3/VHg147r6TYAxIU60RjqBFAfYU8C\nxNE51H8wpwvOTD3a/b7TZwKHWDZ0QQFAmsT1NDj/pPZhlVQJvb3vLn38pmCva8PTbQBIE+oEkE2R\nDGhOu/JTsUwPSO4/mNO6QudQ0o9WT9PPAgBelZ92YnLwZf5p8Fqp8Mma9ONy0/bzAIAX1Anv0vbz\nAGGhs8en8q1IE1cu1voUbU3qWNCqX469p23FbVySHp05g1O+AMCj8hbzzlUztH9gw+Q/J/0J5CVX\nXF5oyb+v8G8e1SVXXBbnkgAgUagTAMJE2ONDpa1IE1cu1trOjlDer2NBq7YcOap1xfeL4Gj1Ylj1\n+JsHtN3ggOY4fpY0uHh4jw4tWhr3MgB4VKnFvHPVDC2/4wHj79XW3qmxXHfhKaciOy43P2TzW3p7\n312SpEuuuMzIHIa4fh4AiBJ1wj/qBOANYY8PUQxkLtXV2qJeKfLOoTBO+IrrZwGAKIU9aLNU/jV7\nYnka/PGb/ijw7IVycf48ABAV6oR/1AnAG8KehAgjeIlLmn4WALBBGMflxiltPw8AxC1tn6tp+3mA\nMBD21FHpmHCvW5E4YhwA0q/S8a9eW8w5OhYA0o86ASAOhD011DomvN5WpKiPGLc5WLJ5bUVDT7yq\nxbdda+z1Tr70gmZff6Ox1wNgp9rHv9ZuMY/66FibbxhsXhsABEGdMMPmtQG2IuypodZsnnpbkaKc\n6xN1sNQIm9cGAEHVmrlQr8U8ynkNUd8wNMLmtQFAUNSJ4GxeG2CzGXEvAMH1H8xpXSFYcpQPloqd\nNHGzeW0AkBX5G4a1UuHTOH/D0Bf3siTZvTYAyAqbP4ttXlta9Y9dGvcSYABhTw0dC1q1ZdZMuZJc\nNXZMeJDvBQAkQ1t7p5qau6XCp30jx78G+V4AQDJQJwDEhW1cNQQ5Jrz0e3PjJ9UsVxcWXsf0Fiav\nA6PjYPPaACCoIMe/ln7viWPvyHHO0f6BeSW/Zo7XQaBxsHltABAUdSI4m9cG2Iywp44gx4QXv6/z\n9aF82HHseCgza4KEUmGzeW0AYEKQ41+L35efRbBW+k04swiC3GyEzea1AYAJ1IlgbF4bYDPCnpBF\nNag5SCgVNpvXBgBxi2oAZ5CbjbDZvDYAiBt1wu61RemVva4+cZVT/wsBMbMHAAAAAAAgVQh7Qsag\nZgBALQzgBADUQp0A4AfbuELGzBoAQC3MIgAA1EKdSL6+3fvVuawt7mUgYwh7IsDMGgBALcwiAADU\nQp0A0Ci2cQEJcfHwnriXAAAAAABIAMIeAAAAAACAFCHsAQAAAAAASBFm9mREb25U/QyJBgBUMTLY\no/0DfZIY/gkAmI46ASQLYU8G9OZG1fT6kDadOi1J2nLkqHolAh8AgKT8BXzfzjOaGN8oSRrLdUvq\n4UIeACCJOpFF/WOXqmPeW3EvAwGwjSsD+g/mtO7UaTmSHEnrTp2e7PIBAGD/QJ8mxtdKhUoxMb52\n8uktAADUCSB5CHuAkJx86YW4lwAAAAAAyCDCngzoWNCqLbNmypXkStoya6Y6FrTGvSwAgCXa2jvV\n1NwtFSpFU3O32to7414WAMAS1AkgeZjZkwFdrS3qlbQ+pQOaGT4NAMHkZy70aP/ABknpG7zJUFEA\nCIY6ASQPYU9GdLW2pDIEMTl8euiJV7X4tmsNrxAAkmHhkhWpvLhlqCgAmEGdAJKFsCfFstDx0n8w\np02F4dNSfvj0+oO5VP6sAGBaFp5k5oeKbpQKlSI/VHRDKn9WADCNOgEkF2FPSnHcOgCgFp5kAgBq\noU4AyRbrgOafvvtenG8fujh/vmfePKChU6f1dUk7ZP64dVv+34U1fPr5oQOBX8Nmu3fvjnsJoUr7\nz5cloyO9cS8hVHH+fK+/9IQmxgelQqUwfYyuLf/vwhoqasvPFxZ+PiRFmv9fxv2zUSeCCevne2Wv\nG8rrNirt19tp+PliDXtetiQwCEvUP19vblTdff36y95XddOxD/QNSX8h6ZCkJw2/ly3/77paWzRx\n5WKtnz9P6+fP08SVi410L/UMjRhYnb16e+0ormFJ+8+XJb+25EIwLFH/fCODPdq1fbOe/h//p46+\nu0IKsVLY8v9u4ZIV6lw1Qy2LNqhl0QZ1rpph5Km0LT9fWPj5kBRp/n8Zx89GnaBOeJX26+00/Hxs\n40qJ0m1bX5P0gDQ5x+buwl83pPS49bQOnwYAk6a241eoFM7damu/Ob4FhiitQ0UBwCTqBHUC6RJr\nZw/M6T+Y07rCoGKnwq+7580hEAGADMsPoFwrVakUc+c7XOgCQIZRJ4B0cVw33D1/juPYsakQACzk\num6lfDZTqBMAUB11gjoBALVUqxOhhz0AAAAAAACIDtu4AAAAAAAAUoSwBwAAAAAAIEUIewAAAAAA\nAFIk9rDHcZz1juPsdRznfzmO81dxrycMjuP8F8dxzjiOMz/utZjkOM7fFP7fveY4zvccx7kw7jWZ\n4DjObY7jvO44zhuO4/xp3OsxyXGcRY7jPOM4Tn/hz9x/intNpjmOM9NxnFcdx/lB3GuBGdSJ5KJO\nJA91AklEnUgu6kTyUCeSI9awx3GcmyXdIelq13V/R9J/j3M9YXAcZ5Gk1ZLeinstIdghqcN13Wsk\n/ULSQzGvJzDHcWZK2izpNkntkr7oOM5V8a7KqAlJ/9l13Q5JyyTdn7KfT5L+RNKAJKbPpwB1IvGo\nE8lDnUCiUCcSjzqRPNSJhIi7s+ePJT3suu6EJLmuOxrzesLwt5IejHsRYXBd9ynXdc8U/rFX0kfj\nXI8hSyUNuq67v/D78l8kfSbmNRnjuu47ruv2Ff7+fUl7JS2Id1XmOI7zUUm/L+lbkjJ/VG1KUCcS\njDqRPNQJJBB1IsGoE8lDnUiOuMOeyyStdBxnt+M4Ox3H+d2Y12OU4zifkXTAdd2fxb2WCKyV9Hjc\nizBgoaThkn8+UPh3qeM4Tpuka5UvrGnxd5L+q6Qz9b4QiUGdSA/qRMJQJ5AQ1In0oE4kDHXCbrPC\nfgPHcZ6S9JEKv/T1wvtf5LruMsdxrpf0r5I+FvaaTKrz8z0kaU3pl0eyKINq/Hxfc133B4Wv+bqk\nk67rfifSxYUj0a16XjmOc76k/ynpTwqJfOI5jvMHknKu+/+3d8euNsZxHMffn6IMstjUVQwmmzIw\nXJKSYleSTcqi7P4CkzIqUjKQVfwFpJsMMpkY5PoL1NfwPIPlcus+5/76/bxf2+mc4Xt6Oud9+vbr\nObWR5EzrebR9dsJOdMZOdMpO9MtO2InO2IlOjdaJlS97qur8Vs8luQm8mF/3br7p2MGq2lz1XEvZ\n6v0lOQ4cAT4kgelI4vskJ6vq+y6OuCN/u34ASa4zHXM7tysDrd5XYO2Px2tM2/hhJNkLPAeeVNXL\n1vMs6BRwOclFYB9wIMnjqrrWeC79g52wE52xE/2yE52yE3aiM3aiX0N1IlXtFo9JbgCHqupukmPA\nm6o63GygFUryBThRVT9bz7KUJBeAe8B6Vf1oPc8SkuwBPjPF5hvwFrhSVZ+aDraQTL8UHgGbVXW7\n9TyrkmQduFNVl1rPop2xE32zE/2xE+qNneibneiPnehH63v2PASOJvkIPAW63Jht04jH+e4D+4HX\n81/TPWg90E5V1S/gFvCK6Q7sz0b5Yp6dBq4CZ+drtjFHdkQjfub+R3aib3aiP3ZCvbETfbMT/bET\nnWh6skeSJEmSJEnLan2yR5IkSZIkSQty2SNJkiRJkjQQlz2SJEmSJEkDcdkjSZIkSZI0EJc9kiRJ\nkiRJA3HZI0mSJEmSNBCXPZIkSZIkSQP5DTHJ3XY4Z7NAAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1145bed10>"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        " === EBLogisticRegression ===\n",
        "             precision    recall  f1-score   support\n",
        "\n",
        "          0       1.00      0.99      1.00       106\n",
        "          1       0.99      1.00      0.99        96\n",
        "          2       1.00      1.00      1.00        98\n",
        "\n",
        "avg / total       1.00      1.00      1.00       300\n",
        "\n",
        "\n",
        " === VBLogisticRegression ===\n",
        "             precision    recall  f1-score   support\n",
        "\n",
        "          0       1.00      0.99      1.00       106\n",
        "          1       0.99      1.00      0.99        96\n",
        "          2       1.00      1.00      1.00        98\n",
        "\n",
        "avg / total       1.00      1.00      1.00       300\n",
        "\n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 3: Binary Classification with many irrelevant features"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.linear_model import LogisticRegression\n",
      "from sklearn.cross_validation import train_test_split\n",
      "\n",
      "# create data set \n",
      "np.random.seed(0)\n",
      "n_samples  = 500\n",
      "n_features = 400\n",
      "# create training & test set\n",
      "x           = np.random.randn(n_samples,n_features)\n",
      "centers     = [[0,-1],[2,1]]\n",
      "x[:,0:2], y = make_blobs(n_samples=n_samples, n_features=2, cluster_std=1.0,\n",
      "                  centers=centers, shuffle=False, random_state=0)\n",
      "x,x_test,y,y_test = train_test_split(x,y,test_size = 0.5,\n",
      "                                     random_state = 0)\n",
      "\n",
      "eblr = EBLogisticRegression(tol_solver = 1e-2)\n",
      "vblr = VBLogisticRegression()   \n",
      "lr = LogisticRegression(C = 1e+3) # LR without regularization\n",
      "eblr.fit(x,y)\n",
      "vblr.fit(x,y)\n",
      "lr.fit(x,y)\n",
      "\n",
      "# create grid for heatmap\n",
      "n_grid = 500\n",
      "max_x      = np.max(x,axis = 0)\n",
      "min_x      = np.min(x,axis = 0)\n",
      "X1         = np.linspace(min_x[0],max_x[0],n_grid)\n",
      "X2         = np.linspace(min_x[1],max_x[1],n_grid)\n",
      "x1,x2      = np.meshgrid(X1,X2)\n",
      "Xgrid      = np.zeros([n_grid**2,2])\n",
      "Xgrid[:,0] = np.reshape(x1,(n_grid**2,))\n",
      "Xgrid[:,1] = np.reshape(x2,(n_grid**2,))\n",
      "Xg         = np.random.randn(Xgrid.shape[0],n_features)\n",
      "Xg[:,0:2]  = Xgrid\n",
      "\n",
      "eblr_grid = eblr.predict_proba(Xg)[:,1]\n",
      "vblr_grid = vblr.predict_proba(Xg)[:,1]\n",
      "lr_grid   = lr.predict_proba(Xg)[:,1]\n",
      "grids = [eblr_grid, vblr_grid,lr_grid]\n",
      "lev   = np.linspace(0,1,11)  \n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "titles = ['Type II Bayesian Logistic Regression', 'Variational Logistic Regression',\n",
      "          'Logistic Regression without regularization']\n",
      "\n",
      "for title, grid in zip(titles, grids):\n",
      "    plt.figure(figsize=(8,6))\n",
      "    plt.contourf(X1,X2,np.reshape(grid,(n_grid,n_grid)),\n",
      "                 levels = lev,cmap=cm.coolwarm)\n",
      "    plt.plot(x[y==0,0],x[y==0,1],\"bo\", markersize = 3)\n",
      "    plt.plot(x[y==1,0],x[y==1,1],\"ro\", markersize = 3)\n",
      "    plt.colorbar()\n",
      "    plt.title(title)\n",
      "    plt.xlabel(\"x\")\n",
      "    plt.ylabel(\"y\")\n",
      "    plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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9XTmv0hU5n/cYwhca5tpIuXUm5RjHzvHdOH3hRsxfsAE7x3cHy/ZCmJX8tO7X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\nzczMEn0K/4PkeecXN9wAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11401fdd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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6rvHd7ClKha8f8TQr3rCdmX9ERG8JHe/KA5qwiVqWvGPIObpQmcKr+pyu8G1o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\nMULXcrVfuDxM03hdFE15S5un6BN43bvWj9nCs7Zwb6cRD7e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7f+3ZMQ0AAADCMP+usbBw\ntyYWAnCyNAEg8mkCQCSaABCJJgBEogkAkWgCQCSaABCJJgBEogkA0QBVuVqz6TFeMwAAAABJRU5E\nrkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x147bc2c90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AFOnvKdDUpox5AP4JADjnbzPGOgBMA3DIatCYBwKFgxyIQ0ipb4CrMFsoSPlh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\n6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9jvszvbiLeHHiDf9lHk2z46qsZ1LFPWsYrmCfWKtZgTDWWLSkRvDw091uHX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OtIiLi/5omRSErnLqstFQrWeRBjIxRE1jphwq/e7bUqzIxYotvai8RrzmsLWZS27I6GcxnEsl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\nlNFUUFBQUFCIEv8flR4esrAhztIAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x147bca3d0>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.metrics import classification_report\n",
      "print \"\\n === EBLogisticRegression ===\"\n",
      "print classification_report(y_test,eblr.predict(x_test))\n",
      "print \"\\n === VBLogisticRegression ===\"\n",
      "print classification_report(y_test,vblr.predict(x_test))\n",
      "print \"\\n === LogisticRegression without regularization ===\"\n",
      "print classification_report(y_test,lr.predict(x_test))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        " === EBLogisticRegression ===\n",
        "             precision    recall  f1-score   support\n",
        "\n",
        "          0       0.83      0.75      0.79       125\n",
        "          1       0.77      0.85      0.81       125\n",
        "\n",
        "avg / total       0.80      0.80      0.80       250\n",
        "\n",
        "\n",
        " === VBLogisticRegression ===\n",
        "             precision    recall  f1-score   support\n",
        "\n",
        "          0       0.86      0.84      0.85       125\n",
        "          1       0.84      0.86      0.85       125\n",
        "\n",
        "avg / total       0.85      0.85      0.85       250\n",
        "\n",
        "\n",
        " === LogisticRegression without regularization ===\n",
        "             precision    recall  f1-score   support\n",
        "\n",
        "          0       0.83      0.73      0.78       125\n",
        "          1       0.76      0.86      0.80       125\n",
        "\n",
        "avg / total       0.80      0.79      0.79       250\n",
        "\n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}